Entangle, involve, enmesh are comparable when meaning to catch or to hold as if in a net from which it is difficult to escape.
Entangle usually carries the implications of impeding and of the difficulty or impossibility of escape; although basically the word implies being caught in a net, a snare, or a maze, it may suggest only a condition that is similar in forming a complication of difficulties.
Involve (see also INVOLVE 3 ); (compare involved under COMPLEX ) implies the addition, often the conscious addition, of ideas, words, or projects which tend to make difficulties (as by confusing or perplexing) for oneself or another.
Enmesh comes very close to entangle in meaning but may be preferred when an involvement in or as if in the meshes of a net is strongly felt.