having your services engaged for; or having a job especially one that pays wages or a salary
is similar to
having services contracted for
"the carpenter engaged (or employed) for the job is sick"
is similar to
having services engaged for a fee
"hired hands"; "a hired gun"
is similar to
actively engaged in paid work
"the working population"; "the ratio of working men to unemployed"; "a working mother"; "robots can be on the job day and night"
see also
actively or fully engaged or occupied
"busy with her work"; "a busy man"; "too busy to eat lunch"