Can a relationship with no sex work?

General

i love my boyfriend of 2 wonderful years. We do everything together, he hugs me, kisses me. But we had sex less than 5 times in the period of 2 years. Everything apart from the sex is wonderful. I have asked him for the reason, he could not give me one. I find myself very unattractive and so not desired sexually. He says he doesnt feel that way for me. I thought it was an impotent problem. But i found out that he could get an erection while watching porn. But never with me. it saddens me very much. he tells me he loves me very much. and i'm sure his not cheating. so please tell me what to do. i love him, and do not know what to say to him, and i dont want to lose this relationship.

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Sexual Avoidance?

Your boyfriend has a problem with sex and intimacy so is avoiding any sexual contact with you.
A relationship without sex can work fine, but there is something missing at the heart of it.
If both partners are happy with their celibacy, then there is not a problem.
I get the impression that you are not entirely happy with the celibacy, so you need to take that seriously, and decide what you need to do.