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The one with the beautiful copperplate seems to be printed, so I wonder if it was some type of invitation to an event.
No, I don't think it was an invitation to an event, just a fancy (and very beautiful) typeface used by a hair and wig dealer, probably on reply mail of some sort.
Here's a similar cover I pulled from a Siegel Auction, however, the price realized is not nearly as comparable to your example, as it involves scarcer stamps and markings from a registered mailing:
