The best way to remove noise from jpeg’s isn’t a noise reduction filter.

You upscale it to 4K, then add a thin artificial grain layer. Then the variation appears deliberate, and it’s still high resolution.

(This will make the file size huge, but storage is cheap, so that doesn’t really matter.) 

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 Are you talking low light sensor noise or just regular jpeg compression artificats? 

 It makes both look better.

This sounds like very low IQ advice but it works.