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Wordage.info / engaged

Exact Match:

having ones attention or mind or energy engaged; "she keeps herself fully occupied with volunteer activities"; "deeply engaged in conversation"
built against or attached to a wall; "engaged columns"
having services contracted for; "the carpenter engaged (or employed) for the job is sick"
(used of toothed parts or gears) interlocked and interacting; "the gears are engaged"; "meshed gears"; "intermeshed twin rotors"
involved in military hostilities; "the desperately engaged ships continued the fight"