Wedlock is an old-fashioned term, less commonly used now, but understood to mean being married. My grandparents often speak of the sanctity of wedlock.
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Cultural Stigma
Historically, 'born out of wedlock' could carry a stigma, but this is now outdated. Years ago, a child born out of wedlock faced social prejudice.
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Legal Context
Wedlock can imply legal and social recognition of a couple's union, beyond personal commitment. The law only recognized inheritance rights for children born in wedlock.