Legal context you should know:
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Swinging/consensual non-monogamy is not a protected class.
In most U.S. jurisdictions, private sector employees are at-will, and employers can terminate for off-duty conduct that they view as violating "morals" or "brand reputation" policies—even if the conduct is legal. (Contrast: sexual orientation and gender identity are protected under Title VII per Bostock v. Clayton County, 2020; consensual non-monogamy is not.) Jackson Walker
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Employment guidance acknowledges "swinger clubs" as fireable morality grounds.
Fireable morality grounds (especially in Canada and some faith-based or morals-clause contexts). These pieces aren't U.S. case law but show how employers frame "cause" for termination around reputational risk and morality provisions. Workplace
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Legal commentary for U.S. workers.
Legal commentary for U.S. workers consistently notes it's not illegal in many places to fire someone solely for being in an open relationship/non-monogamous arrangement (absent other protections or contracts). Avvo Stories