Once the insurance company pay the claim the item, if it reappears, belongs to the insurance company. Often the policy holder has the option of returning the settlement money and reclaiming his property.
That's not true... but Nevada law dictates that pawn shops submit a daily transcript of all transactions to the local police department.
If they really did pay $1600 for that coin, they'll never recoup it. In its condition it's a $500 coin, at best - IF it's authentic. These pieces are popular with counterfeiters. Why didn't they call in one of their "experts"?
And where exactly on the web does one go to find a database of stolen ancients?? Occasionally collectors will post lost or stolen coins at anceintsinfo or FORVM, but I did a search on both and found no Tyrian shekels. If someone's maintaining such a database, it's news to me.
Maybe once the insurance paid the claim it gets removed from the website? On the episode it showed a computer screen with the security guy on the website, twice. Being television the whole thing could have been made up.
"Made up" is the logical conclusion. I find it highly unlikely, given the general character of pawn shop owners, that they would fork out $1600 for an unauthenticated coin. $16 I could believe.
I can not see why 'once the insurance paid the claim it gets removed' would in any way cause 'gets removed from the website'. It is still a missing hunk of stolen property, only now with a more complicated legal ownership rights history.