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1. Connect closely and often incriminatingly
   "This new ruling involves your business";
   - affect, regard
    
2. Engage as a participant
   "Don't involve me in your family affairs!"
    
3. Have as a necessary feature
   "This decision involves many changes";
   - imply
    
4. Must previously have happened or existed, happen or be in place during (in order for stated thing to be happening or be the case)
   "This job involves a lot of patience and skill";
   - necessitate, ask, postulate, need, require, take, call for, demand
    
5. Contain as a part
   "Dinner at Joe's always involves at least six courses"
    
6. Occupy or engage the interest of
   "His story completely involved me during the entire afternoon"
    
7. Make complex, intricate or complicated
   "The situation was rather involved"

Derived forms: involved, involves, involving

Type of: absorb, admit, bear on, come to, complicate, concern, elaborate, engage, engross, feature, have, have to do with, include, let in, occupy, pertain, rarefy, rarify [rare], refer, refine, relate, touch, touch on

Encyclopedia: Involve, a Journal of Mathematics