Always be honest and truthful with your ex. If you want to start again, tell them! Because there's no reason to miss your chance at being honest. You have nothing to lose because when you know the outcome for sure, you can get on with your life instead of anxiously plotting away. keep your head held high and tell them the truth. Feel proud of your bravery and that your integrity is stronger than your ego and pride. Tell them, and be proud and happy when you tell them. Show them how strong you are. They will be impressed. Don't beg of course, but say it with conviction! And bow out with grace if they don't want to, and then you can stop the hoping and start anew.
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I don't think the no contact rule exists to encourage reunion between your ex, but instead to promote healing. If you break up it happened for a reason. The first stage of grief is denial, so staying in touch with your ex post break up may lead to emotional chaos.