in which type of essay would you expect to find the following sentence?
oak and pines trees have more similarities than you might think.
cause and effect
problem and solution
compare and contrast
show and tell

The correct answer is COMPARE and CONTRAST ESSAY.

In a compare and contrast essay it is necessary to show the differences and similarities between at least two things.

The sentence provided is the thesis statement. Even though there are more than one structures you can follow, basically you are supposed to discuss both differences and similarities in the development of your essay.

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.