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I will freely admit that I don't know what things will look like at the end of the world. The book of Revelation provides some clarity on these things, but there's still a lot we don't know, so we trust in God that things will work out according to his promises.
What we do know is that good will definitively triumph over evil. God will win the day, and at the end, evil will recognize its peril. Those who are devoted to evil will have the scales fall from their eyes and see how they have missed the truth and glory of God. They will recognize that they have been opposing the truth, and there will be sorrow and lamenting.
Here in Acts, Paul refuses to leave without an apology. He has been wrongfully imprisoned, and he demands an apology. At the end of the day, those in power recognize their mistake and apologize out of fear.
It is a healthy reminder that the Word of God will always progress, will always move forward. Nothing can oppose God's Word. At the end of the day, those opposing God will be defeated. It is our responsibility, as Christians, to ensure that the Word of God is proclaimed in all we do, that the Gospel might be shared as widely as possible, so that every knee shall bow and every tongue confess that Jesus Christ is Lord!