They no longer think or reason clearly. AT: "They have darkened their thoughts" or "They are not able to understand" (See: [[rc://en/ta/man/translate/figs-metaphor]] and [[rc://en/ta/man/translate/figs-activepassive]])
This can be stated in active form. AT: "Because they do not know God, they cannot live the way God wants his people to live" or "They have cut themselves off from the life of God by their ignorance" (See: [[rc://en/ta/man/translate/figs-activepassive]])
"Hearts" here is a metonym for their attitudes and intentions. AT: because of their bad attitudes and intentions. (See: [[rc://en/ta/man/translate/figs-metonymy]]).
Paul speaks of these people as if they were objects that they themselves were giving to other people, and he speaks of the way they want to satisfy their physical desires as if it were the person to whom they give themselves. AT: "only want to satisfy their physical desires" (See: [[rc://en/ta/man/translate/figs-metaphor]])