Quisiera saber si esto está bien escrito, aún estoy aprendiendo ingles...
Some people are going to leave, but that's not the end of your history, that´s the end of their part of the history

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Answer

Some people are going to leave, but that's not the end of your story, that´s the end of their part of the story...

Story se refiere a tu experiencia personal, mientras que History se refiere a historia de la humanidad en general, como cuando se habla de hechos pasados, de gran importancia.

Hope it helps. :)

Regards,
Jaime