involvement
US /ɪnˈvɑːlv.mənt/
UK /ɪnˈvɑːlv.mənt/

1.
the fact or condition of being involved with or participating in something
:
•
Her involvement in the project was crucial to its success.
•
The police are investigating his possible involvement in the crime.
2.
a romantic or sexual relationship
:
•
They denied any romantic involvement with each other.
•
His past involvement with the actress was widely publicized.