Two friends play a game to see if one can spot the true statements when the other gives them a list of truths and lies mixed together. (These friends are logicians, and they are very particular about formal logic. They think it's fun.) The first friend challenges the second, saying: "1, I'm not in love with you; 2, Exactly two statements on this list are false; 3, Exactly three statements on this list are false." Which of these statements is true?
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