"the people they love are of the same sex"
Gotta love that euphemism usage.
If you truly love people of the same sex, they're your friends or relatives. You aren't joining them in an inappropriate sexual relationship.
You might as well say "the people they love are younger than them" about pedophiles.
Sex is not love, and can be a part of love in one type of relationship only. Inappropriate sex is not about love at all.