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Without seeing it, it's hard to say what steps may be needed. There is, most likely, no easy solution.

One "trick" that has assisted me in the past is simply adjusting the levels (ctrl+l).

But that will just sharpen the lines and help to get rid of some of your random artifacts.

Sometimes duplicating original layer (ctrl+j) with a bit of Gaussian blur and overlay blend might help.

But again, have to see it to say.

Hope this helps.