LIGHTER FLUID
Lighter fluid is one of the best chemicals around to remove adhesives; such as stickers and tape residue.
It will also remove some ink marks, gum, crayons and a lot more.
What will it do to a Roman coin encrusted in dirt?
I'm guessing nothing, but there's one way to find out!
Before scan on top, after(s) below.

Using Zippo brand lighter fluid in a closed plastic container.

The smaller coin (fel temp) seems to have a solid green patina, with light colored sandy dirt covering most of the coin, a patch of darker mud on the obverse.

The larger coin has a patchy dark green patina. I believe that the brown (light chocolate colored) is the metal showing through. It has light encrustations on both surfaces, along with an odd whitish colored substance, that seems to have something like quartz in it.
After one day, minimal loss of dirt. Coins seem to have darkened. Will keep it soaking for a couple more days.
Below is a scan of the coins after 5 days of soaking in lighter fluid. Very little dirt loss and a bit of darkening. I'm calling this one done... and no real results. Will try this again for Renwax removal in the future. The Fel Temp did lose some discernable dirt though distilled water would work better and is alot cheaper.
WAX REMOVAL
I would highly recommend trying lighter fluid to remove Renwax. Just pour enough to cover a coin into a container that's air-tight. Let it sit overnight... and viola! Wax is removed. Much easier and safer than using fingernail polish remover, electrolysis or biox. I have had absolutely no problems at all on the 5 coins or so that I have tried this on. You don't have to continuously scrub and resoak every 5 minutes like fingernail polish remover, and you don't risk losing patina like the other methods. Don't smoke while doing this though.

 

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