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Explanation:

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the sentence that avoid faulty coordination is:

culture, which is well represented in philadelphia, plays a major role including theatre, music, and the visual arts.  

faulty coordination occurs when the writer gives equal importance two different ideas (clauses) which in fact are not equivalent. in order to correct a misplaced clause or idea, the writer can place less important or emphatic ideas in a relative clause as in the previous sentence.  

there are many cases in the crucible where propaganda is present, the types of propagandas that are shown are: bandwagon, testimonial, transfer, and card-stacking. the crucible is mainly focus on the ancient beliefs that people from towns had, if someone didn’t follow the rules they would be punished.