I believe this can be best explained by the parable of the sower found in Matthew 13:1-9, and explained by Jesus in Matthew 13:18-23.
3 And He spoke many things to them in parables, saying, “Behold, the sower went out to sow; 4 and as he sowed, some seeds fell beside the road, and the birds came and ate them up. 5 Others fell on the rocky places, where they did not have much soil; and immediately they sprang up, because they had no depth of soil. 6 But when the sun had risen, they were scorched; and because they had no root, they withered away. 7 Others fell among the thorns, and the thorns came up and choked them out. 8 And others fell on the good soil and *yielded a crop, some a hundredfold, some sixty, and some thirty. 9 He who has ears, let him hear.” - Matthew 13:1-9
18 “Hear then the parable of the sower. 19 When anyone hears the word of the kingdom and does not understand it, the evil one comes and snatches away what has been sown in his heart. This is the one on whom seed was sown beside the road. 20 The one on whom seed was sown on the rocky places, this is the man who hears the word and immediately receives it with joy; 21 yet he has no firm root in himself, but is only temporary, and when affliction or persecution arises because of the word, immediately he falls away. 22 And the one on whom seed was sown among the thorns, this is the man who hears the word, and the worry of the world and the deceitfulness of wealth choke the word, and it becomes unfruitful. 23 And the one on whom seed was sown on the good soil, this is the man who hears the word and understands it; who indeed bears fruit and brings forth, some a hundredfold, some sixty, and some thirty.” - Matthew 13:18-23
The gift of the seed went out, the word has been sown. The problem is not a lack of the seed going out but rather the soil it landed in. Every one of us fits into one of these categories. Every one of us was/is soil but depending on our condition will determine if the seed will bring forth fruit. Scripture elsewhere elaborates on the condition of the various soils and gives examples. Let me share some of those verses with you.
23 And Jesus said to His disciples, “Truly I say to you, it is hard for a rich man to enter the kingdom of heaven. 24 Again I say to you, it is easier for a camel to go through the eye of a needle, than for a rich man to enter the kingdom of God.” - Matthew 19:23-24
2 They were watching Him to see if He would heal him on the Sabbath, so that they might accuse Him. - Mark 3:2
21 Another of the disciples said to Him, “Lord, permit me first to go and bury my father.” - Matthew 8:21
18 But they all alike began to make excuses. The first one said to him, ‘I have bought a piece of land and I need to go out and look at it; please consider me excused.’ 19 Another one said, ‘I have bought five yoke of oxen, and I am going to try them out; please consider me excused.’ 20 Another one said, ‘I have married a wife, and for that reason I cannot come.’ - Luke 14:18-20
3 And he sent out his slaves to call those who had been invited to the wedding feast, and they were unwilling to come. 4 Again he sent out other slaves saying, ‘Tell those who have been invited, “Behold, I have prepared my dinner; my oxen and my fattened livestock are all butchered and everything is ready; come to the wedding feast.”’ 5 But they paid no attention and went their way, one to his own farm, another to his business, 6 and the rest seized his slaves and mistreated them and killed them. - Matthew 22:3-6
9 and do not suppose that you can say to yourselves, ‘We have Abraham for our father’; for I say to you that from these stones God is able to raise up children to Abraham. - Matthew 3:9
3 Know this first of all, that in the last days mockers will come with their mocking, following after their own lusts, 4 and saying, “Where is the promise of His coming? For ever since the fathers fell asleep, all continues just as it was from the beginning of creation.” 5 For when they maintain this, it escapes their notice that by the word of God the heavens existed long ago and the earth was formed out of water and by water, - 2 Peter 3:3-5
18 For the wrath of God is revealed from heaven against all ungodliness and unrighteousness of men who suppress the truth in unrighteousness, - Romans 1:18
‘Go to this people and say,
“You will keep on hearing, but will not understand;
And you will keep on seeing, but will not perceive;
27 For the heart of this people has become dull,
And with their ears they scarcely hear,
And they have closed their eyes;
Otherwise they might see with their eyes,
And hear with their ears,
And understand with their heart and return,
And I would heal them.”’ - Acts 28:26-27
40 and you are unwilling to come to Me so that you may have life. - John 5:40
51 “You men who are stiff-necked and uncircumcised in heart and ears are always resisting the Holy Spirit; you are doing just as your fathers did. - Acts 7:51
10 and with all the deception of wickedness for those who perish, because they did not receive the love of the truth so as to be saved. - 2 Thessalonians 2:10
34 O Jerusalem, Jerusalem, the city that kills the prophets and stones those sent to her! How often I wanted to gather your children together, just as a hen gathers her brood under her wings, and you would not have it! - Luke 13:34
It's interesting because in each of these instances it wasn't an inability nor a lack of invitation to come, but rather a suppression of the truth as Romans 1 describes, a deliberate choice to not respond to the invitation.
9 that if you confess with your mouth Jesus as Lord, and believe in your heart that God raised Him from the dead, you will be saved; 10 for with the heart a person believes, resulting in righteousness, and with the mouth he confesses, resulting in salvation. - Romans 10:9-10
The word heart is mentioned over 800 times in scripture and not once is it referring to the pump in our body that moves blood. In the verse above heart refers to decision core of a person. The original Greek here is the word 'kardia' which refers literally to 'the heart; mind, character, inner self, will, intention, center'. Kardia according to the HELPS Word-studies defines it as: heart; "the affective center of our being", "the capacity of moral preference", "volitional desire", "desire-producer that makes us tick", "our "desire-decisions" that establish who we really are".