Some use warm water, warmer than the egg then refrigerate.
I use Apple Cidar Vinegar if dirty. I cannot use anything stronger than ACV because of allergies. Obviously I cannot use store bought eggs of any type.
Once in a while a Poo egg, I wipe off, clean with vinegar and cook for the dogs.
I don't sell except to neighbors, though. I don't clean any unless I need to, they store longer.
Change out nest bedding once a week or so to keep the nests clean. Normally the only dirty eggs are when it rains, from the Hens tracking mud into hen house. Those eggs I clean and use first. Actually any egg washed I mark with a W and it gets used first.
Once its washed the protective bloom is off and it will not last as long and is then open to bacteria entering through the pores of the shell.