I loved this movie (I reference it in the recent Lexx thread 😆 ), and the film’s ending is especially lovely.
Basically, on discovering each other through the tapes, they agree to start again – with their knowledge on how (and why) badly the relationship ended in the first place. Despite being destined to make the same mistakes in the ‘new’ relationship, the two lovers can now learn to be more accepting and loving of each’s (perceived) failings as if learning about them for the first time. It doesn’t imply that they’ll succeed with this knowledge, only that they now have reason to be more understanding and accepting of one another’s known ‘failings’.