I'm (30/m) and have a (26/f) friend that i really like but not sure i can just be friends and still move on?

So we were just friends to begin with but then did this weird dating then not dating , then dating and finally not dating again thing all over the course of 2-3 months. Every time she broke it off. I still really like her and still seem to be hung up on her. We are still friends and hang out 2-4 times a week. Think its possible to just remain friends? Do you think you just have to cut all ties to move on? Or should I wait and hope for her to come around again and hope it work this time. Any and all advice is welcome.