IMHO they are related. To have true love there is always going to be some degree of lust involved. Lust doesn't just disappear because love comes around.
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Love and lust are often interconnected emotions, but they are distinct in nature. Love typically involves deep emotional connection, while lust is more focused on physical desire. It is possible for love and lust to coexist, but they are not the same thing.
It is dependant on the individuals concerned. Homosexuality is when two persons of the same gender are sexually attracted to each other. This could be lustful or it could be love.