Etymology
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outlive (v.)

"to live longer than," late 15c., from out- + live (v.). Related: Outlived; outliving. Old English had oferbiden (Middle English overbiden, literally "over-bide") for "to outlive, outlast, live through," also oferlibban (literally "over-live;" compare German überleben, Danish overleve). 

Outlive, Survive. Outlive is generally the stronger, carrying something of the idea of surpassing or beating another in vitality or hold upon life; it is tenderer to say that one survives than that he outlives his wife or friend. [Century Dictionary, 1895] 

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Definitions of outlive

outlive (v.)
live longer than;
She outlived her husband by many years
Synonyms: outlast / survive
From wordnet.princeton.edu