The term 'Not Just Suggest' can be broken down into three crossword solutions: AVER, ASSERT, and AVOW. AVER is a verb meaning to state as a fact, often with confidence. ASSERT is also a verb, meaning to state a fact or opinion confidently and forcefully. Finally, AVOW is a verb meaning to declare something firmly and publicly. All three words have to do with making a statement, but the difference between them is in the degree of confidence and forcefulness. AVER is the least forceful, while ASSERT is more forceful, and AVOW is the most forceful.