/ɪnˈgeɪdʒ,ɛn-/

verb: engage; 3rd person present: engages; past tense: engaged; past participle: engaged; gerund or present participle: engaging

1. occupy or attract (someone's interest or attention).
"he ploughed on, trying to outline his plans and engage Sutton's attention"
synonyms: capture, catch, arrest, grab, seize, draw, attract, gain, win, captivate, hold, grip, engross, absorb, occupy
"the tasks must engage the children's interest"
involve someone in (a conversation or discussion).
"they attempted to engage Anthony in conversation"

2. participate or become involved in.
"organizations engage in a variety of activities"
synonyms: participate in, take part in, join in, become involved in, go in for, partake in/of, occupy oneself with, throw oneself into; share in, play a part in, play a role in, be a participant in, be associated with, have a hand in, be a party to, enter into, undertake, embark on, set about, launch into
"they like to engage in active sports"
establish a meaningful contact or connection with.
"the teams needed to engage with local communities"