TW: Abuse - Is it possible to heal in a relationship with someone who coerced you in the past?

Many women have been abused by their partner and some of them choose to stay. There are many reasons that one might choose to stay like financial dependence, a power dynamic, self-esteem, attachment, etc.

For romantic relationships with a past/pattern of abuse, specifically in the case where victims choose to stay, is there a path for healing? How does it happen?

Should these relationships still continue after the victim's has healed from the trauma?

And for the abuser: What should they do after changing their behavior? Do they have any extra duties to society outside of repairing the immediate harm they caused, like advocacy, outreach, etc.?