The very concept of "homosexuality" is a new development in Western Society. The passages you cite don't use a term that would translate to the idea of "homosexuality" (which is, functionally: "the condition of being sexually attracted to someone of the same sex"). The Levitical Law didn't generally care about the underlying condition, but rather the acts themselves, more accurate translations usually translate those commands with language such as "lay with a man as one does with a woman" or, in modern vernacular "A man shalt not fuck another dude."
Note, this means it does not care about your attraction, those verses (and most sections of the Bible concerned with Sexual Morality) care about and criminalize the action. This makes sense, of course, legal systems almost never punish the desire to commit crime or the temptation to commit crime, they criminalize the ACT of committing the crime.
This also meshes into a proper understanding of Sin: Temptation vs Action. "Being homosexual", in a proper theological understanding is a state of Temptation similar to, say, "Having a short temper" or "really appreciating good food". Having temptation towards homosexual behavior is no worse or special a condition than any other form of temptation, it is acting upon it that is the sinful behavior, not the mere condition of being tempted... which is in some ways what the NLT is implying there...