engaged
adjective
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having ones attention or mind or energy engagedoccupied
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built against or attached to a wall“engaged columns”
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having services contracted for“the carpenter engaged (or employed) for the job is sick”
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(used of toothed parts or gears) interlocked and interacting“the gears are engaged”intermeshed
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involved in military hostilities“the desperately engaged ships continued the fight”
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(of facilities such as telephones or lavatories) unavailable for use by anyone else or indicating unavailability“(`engaged' is a British term for a busy telephone line)”busy
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reserved in advancebookedset-aside