I want to know if it is possible to make a sentence like 'I am being loved by my mom.'
If it is possible, What is the meaning you get when you see this sentence? Please, tell me.
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If you're speaking in general terms of the fact that your mom loves you, you would say "My mom loves me."
Your original sentence makes sense grammatically, but "being loved" when used in the present-tense is often related to romantic (or sexual) love. So the original sentence may come off as strange to some readers.