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How could it be worn so much?
Seems like someone would have known it to not be a genuine silver franc.
Counterfeiters were of course aware that a freshly-minted coin might get looked at more closely and suspiciously than a heavily worn coin. So one trick that counterfeiters often used was to make their coins already look heavily worn to begin with.
It probably originally looked much more convincing, at least in terms of silver colour. Remember, a counterfeiter only needs to fool one person, once, and it's mission accomplished for that counterfeit coin. A counterfeiter neither knows nor cares about how the coin will look once the silver wash wears away (or the mercury wash evaporates), much less how the coin might look in 200 years time.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis