Me in this english just paraphrase these

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.  

kenny´s more than 25 years of relevant public service. in the army for two decades, as official representative for four years, and now for the department of state, as ambassador. this career clearly demonstrates great capacities in the public sector.