Definition of “engage” - Learner’s Dictionary

engage

verb [ T ] uk us /ɪnˈɡeɪdʒ/ formal
INTEREST

to interest someone in something and keep them thinking about it:

The debate about food safety has engaged the whole nation.
EMPLOY formal

to employ someone:

[ + to do sth ] I have engaged a secretary to deal with all my paperwork.

(Definition of “engage” from the Cambridge Learner's Dictionary © Cambridge University Press)