The noun involvement has 5 senses (first 3 from tagged texts)
1. (4) engagement, participation, involvement, involution -- (the act of sharing in the activities of a group; "the teacher tried to increase his students' engagement in class activities")
2. (1) involvement -- (a connection of inclusion or containment; "he escaped involvement in the accident"; "there was additional involvement of the liver and spleen")
3. (1) interest, involvement -- (a sense of concern with and curiosity about someone or something; "an interest in music")
4. affair, affaire, intimacy, liaison, involvement, amour -- (a usually secretive or illicit sexual relationship)
5. participation, involvement -- (the condition of sharing in common with others (as fellows or partners etc.))