I feel like this had to be written by someone who doesn't understand how leases work. Why wouldn't you just evict him if he isn't on the lease? And if he was, why wouldn't you just break your lease and move out yourself?
I mean, I know the rental market in a lot of places isn't the best right now, but she apparently has enough to money to be able to fairly comfortably pay off a $1600/month credit card bill (I know they say it's a little tight but still...that's a ton of money to be dropping on your ex every month), so I'm a little skeptical that someone would have no other option but to agree to this frankly insane idea to get their ex out of the home.