The trash wouldn’t be pulled back from the moon any more than the moon rocks would regardless of the side it was on.
The… environmental concerns aside, just launching stuff to the low earth orbit is hideously expensive. The price tag per kilogram is somewhere between 10,000$ and ten times that, so there is no conceivable way for that to be even remotely affordable.
The trash isn’t really a problem, either. Once it’s piled up in landfills it’s more or less fine there, and a trash rocket wouldn’t clean up any of the microplastics and the like from the environment. It might be tempting to think about launching radioactive waste up there instead (we can’t make _that_ much of it, right?) but rocketry runs a risk of catastrophic failure, and a rocket loaded up with nuclear waste that explodes violently in the atmosphere would be very, very bad news, even if we by some miracle managed to make that economic.
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