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They can but they’re clearly self sabotaging with the cheating and ruining something real. That indicates lack of self love. They can love you but they can fail to love you in a healthy way because of their own issues. Real love is being able to empathize with the person you love completely and you wouldn’t cause them pain by cheating. So yes, they can love you, but not in a way that’s healthy.
They can also show they don’t love you by never considering your feelings and appreciating you too. Lack of respect is up there as well.