Possible meanings are 1) God "gave them up to a corrupted mind ... proper" (see the words in this verse) because they not only "exchanged the truth of God for a lie, and ... worshiped and served the creation" ([Romans 1:25](../01/25.md)), but they also "did not approve ... awareness," or 2) God "gave them up ... proper" because "they did not approve ... awareness," in which case "And just as" should be translated "Because."
Here "a corrupted mind" means a mind that thinks only about immoral things. Alternate translation: "God allowed their minds, which they had filled with worthless and immoral thoughts, to completely control them" (See: [[rc://en/ta/man/jit/figs-explicit]])