i have a couple stories
1) one of my best friends dated a guy for 2 years in college. she moved out of state in july after we graduated for grad school. he broke up with her because he didnt "believe" in long distance relationships. she was miserable, begged, pleaded, etc. he would talk to her, but wouldnt budge. she would try to go nc but would break down after 2-3 weeks every time. finally she realized she couldn't convince him, so she let it go. she stuck with nc for 6 weeks before he finally contacted her telling her he made the biggest mistake of his life. they got back together about 6 months after the initial break up.
2) one of my roommates in college had been with her boyfriend for a year and a half and wanted some time to be "single" before we graduated. they were apart for about 2 months before she went back to him. they never lost contact.
3) my own story. my ex boyfriend and i had been together since 15. we broke up freshmen year of college because of long distance over thanksgiving freshmen year. we had lc most of the year and got back together over the summer after that year. we stayed together for another 2 years and broke up again in the summer of 2013. we were broken up for 2 months but remained friends and then got back together. most recently we broke up 5 months ago. i think this time is for good as this is the only time we've really not had contact and it seems serious. all of our break ups i think were due to lack of experience, being young, growing pains, and GIGS on his side mostly. i have no idea what will happen now (we are no longer long distance), but i do think reconciliations can happen.
i know a bunch more stories. i think breaking up and reconciling happens way more often than people make it out to. i think the key to it is just letting go and letting whatever is meant to be work itself out.