thorough search
definitions
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An exhaustive, careful, and detailed examination or investigation intended to locate something or someone.ru: Тщательный поиск
examples
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The senior members of the family decided that a thorough search must be conducted to find the owner of the box.
Старшие члены семьи решили, что необходимо провести тщательный поиск, чтобы найти владельца коробки.