The phrase can imply different activities depending on the context, whether professional, personal or recreational. She loves to engage in painting during her free time.
Pro Tip 2/3
Group Activities
'Engage in' often suggests a social aspect, like joining others in a shared activity. We will engage in team-building exercises tomorrow.
Pro Tip 3/3
Personal Choice
Using 'engage in' can indicate a voluntary or deliberate choice to participate in an activity. He chose to engage in volunteer work for personal growth.