Eventually, he will have to own up to what he has done. That is a fact.
That does not mean he will admit it to you, or even that you will still be together. Maybe you will get tired of it and leave beforehand.
Maybe he will get arrested. Maybe he will make his family mad. Maybe he will die. Either way, the consequences for his actions are going to catch up to him, and he will pay for it. That doesn't mean you have to wait around for it though, because it is just going to drive you insane. Do what you need to do. If you want to wait on him, do it. If you want to leave, do it. Only you know what is right.
But I guarantee you, things will not change until he does face the consequences. And like I said, who knows when that will happen or what it will take for him to do so?