I realised I actually have some stories to share but I was moping too much to realise!
I've found that with most long term relationships there is some form of reconciliation somewhere down the line, not immediately though. Even with me where I thought there was no chance! Most of my friends in LTRs have had one break up where it seemed like the end completely, and they got back together or moved on to a better person.
Here's two off the top of my head, one where my friend was the dumper, the other where another friend was the dumpee.
1) One of my best friends at University had been with her boyfriend since they turned 17. They both came to university together but she found that the relationship wasn't fulfilling her/going downhill because of various things. In her second year of university they broke up and he was devastated.
He did all of the classic "dumpee" things, calling, pleading, crying. He even asked me to pass on a letter he had handwritten to her. She started seeing another guy for a little while she had liked when she was with her ex but realised there was something holding her back (she found herself unable to take things further and couldn't connect). She tried to make it work but she ended things. About six months down the line she got back together with her ex, they moved in together and are still together 7 years later. He had worked on the issues that pushed them apart (v. severe anxiety, clinginess, etc) and they seem happier than ever. They realised that LTRs have ups and downs and work on things as a team.
2) Another university friend of mine broke up with her long term boyfriend within the first month of university (he was studying elsewhere). I remember hearing her crying about it in her room. I'm unsure why they broke up, possibly because of distance making feelings fade on his side. She was amazing, picked herself up and didn't let it get to her for long. She pushed herself into studying but also being social and enjoying herself, she also started running and getting fit. She had a short lived "rebound" a few months later but didn't find it gave her the same connection (I don't know if the ex found out about this guy). After the summer of our first year at university her and her ex reconciled, and are still together now, 8 years later. He is more devoted to her than ever and seeing them together is amazing because they just seem to fit.
I think in both these situations despite my friends being dumpees/dumpers, they just tried their best to move on and improve themselves and eventually reconciliation happened. They both did NC.
Not contacting your ex helps massively in both healing yourself and letting your ex know what life is like without you. You can't predict the future but you can predict a time when you'll be better, either with or without them but only if you let yourself improve as a person.