My xabf did this many times and many times I took him back, in the end almost killing myself with stress. It's very hard to hit the ignore button at first, but it gets easier.
I sent xabf a final letter over a year ago via email. I was not strong enough at first to block his emails, so the same day, I got a new email account and contacted everyone else to let them know my address had changed. Months later, when I was completely over it, I checked the old account and saw all the emails. I read all of them and it was as if I was reading about someone else's life. The person he was writing to thAt once believed all of the manipulative things was a stranger to me. The person writing was nothing more than a twisted person who would say anything to keep his enabled. Keep working on you. It will all pay off! Hugs!