1. Contain as a part
   "Dinner at Joe's always involves at least six courses"
    
2. Have as a necessary feature
   "This decision involves many changes";
   - imply
    
3. Make essential as a condition or prerequisite
   "This job involves a lot of patience and skill";
   - necessitate, ask, postulate, need, require, take, call for, demand
    
4. Engage as a participant
   "Don't involve me in your family affairs!"
    
5. Connect closely and often incriminatingly
   "This new ruling involves your business";
   - affect, regard
    
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"
    
8. [literary] Surround or envelop completely
   "The fog involved the entire valley"

Derived forms: involving, involved, involves

Type of: absorb, admit, bear on, 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