The answers are B and E.

Avoid: This term refers to stay away from or to circumvent something. In the context of the question, members of both parties encouraged their constituents to abstain from violence.

Eschew: Similar to "avoid," eschew means to forgo or, in other words, "wash one's hands of" something. In the context of this question, it would mean to stay away from violence.

Hence, both "avoid" and "eschew" mean that the constituents were urged to shun violence as it would have been counter-productive.