I don't think it happens at the end of every love story - but yeah- sometimes it does.
This question reminds me of this song- Less than Strangers.
I think it means that before you fall in love and break up (when you were strangers) there was more possibility for a relationship than after you've been in love and have broken up and are hurt and angry with each other - so in essence, the possibilities are less than when you were strangers.