Synonyms for Involved (same or very similar meaning)
WordNet sense 1 (highly complex or intricate):
byzantine, convoluted, knotty, tangled, tortuous
WordNet sense 2 (complicated in structure; consisting of interconnected parts):
complex, complex
WordNet sense 3 (closed in or surrounded or included within):
enclosed
WordNet sense 4 (culpably involved):
concerned
WordNet sense 5 (involved in or affected by or having a claim to or share in):
interested
WordNet sense 6 (entangled or hindered as if e.g. in mire):
mired
WordNet sense 7 (loaded to excess or impeded by a heavy load):
encumbered
WordNet sense 8 (associated in an exclusive sexual relationship):
committed, attached
From the ODE community, based on WordNet
add/edit