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English definition of “give up sth”

give up sth

verb uk phrasal verb with give   /ɡɪv/ (gave, given) us  
to stop owning and using something: They were forced to give up their home because they couldn't pay the mortgage.Abstaining and refraining give up hope to stop hoping that a particular thing will happen: We still haven't given up hope of finding her alive.Hoping and hopefulnessPotential
(Definition of give up sth phrasal verb, verb from the Cambridge Advanced Learners Dictionary & Thesaurus © Cambridge University Press)
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