General involvement:
* Include
* Contain
* Comprise
* Encompass
* Embrace
* Entail
* Implicate
* Engage
Active participation:
* Participate
* Contribute
* Take part in
* Be part of
* Play a role in
* Be involved in
Causing or leading to:
* Result in
* Lead to
* Bring about
* Cause
Implicating or connecting:
* Connect
* Link
* Relate
* Associate
Other synonyms:
* Affect
* Concern
* Incorporate
* Intertwine
The best synonym to use will depend on the specific context of the sentence.