Is it wrong to say break up to your boyfriend although you still love him?

At first he said that he trusts me and doesn't show any signs of doubting our relationship but then he has doubts about our relationship and said that he doesn't need to be really opened to me and doesn't wanna show his true-self to me which made me really surprised by his statements. He doubted if it worked or not and concerned about the distance between us, and age gap between us. Any advice? Thanks

Note: we only date for less than a month and it's long distance relationship.
Yeah its wrong
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No, its not wrong
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Is it wrong to say break up to your boyfriend although you still love him?
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