A common theme between The Outsiders by S. E Hilton and the Poem "Nothing Gold Can Stay".

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.  

the correct answer is video games and fast food.

hope this (:

it is grammatically incorrect and is illegible to me and i can not answer it.