Can you unconditionally love someone but not be wiith them?

I am talking romantically
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So background on this we broke up and afterwards he begged for another chance saying he unconditionally loves me and can't see another girl in his future. But when the time came to actually be together he claims relgion differences Christian and catholic mean he can't be. Anytime I bring up the fact that he isn't making sense he just says he this sucks and he still wants to be with me and don't give up on him. I am so tried of this if he means it wouldn't he try to make it work?
Can you unconditionally love someone but not be wiith them?
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