"Therefore God gave them up in the lusts of their hearts to impurity, to the dishonoring of their bodies among themselves, because they exchanged the truth about God for a lie and worshiped and served the creature rather than the Creator, who is blessed forever! Amen."
In continuing his diatribe against the unrighteous in his letter to the Romans, Paul writes that God has allowed these people to pursue impurity. In His sovereignty God has elected for certain individuals to continually and eternally reject Him. He has hardened their hearts so that it is impossible for them to believe in Him. Much like a judge hands over a prisoner to the warden after his conviction, so too does God hand over the reprobate to Satan. Satan tempts this person with a life filled with the lusts of their own selfish desires, resulting in a punishment of divine judgment.
But why would a benevolent, gracious, and merciful God allow people to fatally mire in their own sin? If He really loves His creation, why would He choose this fate for certain people? The answer is that sinful mankind rejects the truth of Christ that has been clearly revealed in many different forms (Romans 1:18-23). The truth is offensive. The reality of their sinful condition cuts to the bone. Therefore they have traded the truth for a lie, choosing to serve the god of their own desires and refusing to worship and give honor to the Almighty God, the Creator of all things.
All mankind has been blinded by sin. But thank the Lord that He, in His sovereignty, has opened the minds of His elect through the conviction of the Holy Spirit. We would all be eternally doomed, wallowing in the filth of our own desires. But God has washed, sanctified, and justified His people through the death of His Son and the work of the Holy Spirit (I Corinthians 6:11).