No way to tell unfortunately... . I think my ex ended it about 9 times, but this would be for a few hours or at most a couple of days. When she ended it for "good" I obviously didn't take it seriously, just thought "here we go again"... . I'd say a month is a long time. I imagine your ex would have ended the relationship before, how long did it last? That might be able to give you some judgement.
RE closure: It's unlikely you'll get it. I chased it, and just ended up with more pain. Everything projected back. So my advice is don't chase. I never listened to that advice and wished I did.
The best thing to do, is do what ever makes you happy at the moment. If you like sport play sport, films watch films. Spend time with those who love you, but don't be pressurized into dating if you don't want to. It took me 5 months to date again, and it still doesn't feel right. Detachment is a process so just go at your own pace

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