What's with people not taking a break up when you tell them want to dump them?

It seems like if I say I want to end a relationship and know that it's best for me and that person they don't want it to end and they don't take but when it's the other way around and they're dumping me I'm fine with it and know its best for the both of us. I don't get why guys just won't let me end things with them if it isn't working for the both of us
What's with people not taking a break up when you tell them want to dump them?
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