What’s failing to extract? The list or the large rar files?
And have you tried using WinRAR? I find it can complete the extraction task error free when some others glitch in the process.
It’s as good as free too. Even after your 40 day trial is up, the only thing that happens is a pop-up window that looks like this. All you have to do is click “Close” and you can keep using it with full functionality.
Let me know if that does the trick!