I'm thinking the invites stem from Snidely rocking that porn mustache
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Trophy wife is an expression used to refer to a wife, usually young and attractive, who is regarded as a status symbol for the husband, who is often older and wealthy.
The use of the term also usually reflects negatively on the character or personality of the husband, and has a connotation of narcissism and desire to impress others, and that the husband would not be able to attract the sexual interest of the attractive woman but for his wealth or position.