Valid

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late 16th century: from French valide or Latin validus ‘strong’, from valere ‘be strong’.

wiktionary

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Borrowed from Middle French valide(“healthy, sound, in good order”), from Latin validus, from valeō(“I am strong, I am healthy, I am worth”) +‎ -idus, from Proto-Indo-European *h₂welh₁-(“be strong”).

etymonline

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valid (adj.)

1570s, "having force in law, legally binding," from French valide (16c.), from Latin validus "strong, effective, powerful, active," from valere "be strong" (from PIE root *wal- "to be strong"). The meaning "sufficiently supported by facts or authority, well-grounded" is first recorded 1640s.