engage

Consume all of one's attention or time.

Get caught.

“make sure the gear is engaged”

Carry out or participate in an activity; be involved in.

“They engaged in a discussion”

Engage or hire for work.

Give to in marriage.

Carry on (wars, battles, or campaigns).

Engage for service under a term of contract.

Keep engaged.

“engaged the gears”

Hire for work or assistance.

“engage aid, help, services, or support”

Ask to represent; of legal counsel.