Watch for redundancies that make the article too wordy instead of being crisp and concise. (You may wish to try Tony1's redundancy exercises.)
While additive terms like “also”, “in addition”, “additionally”, “moreover”, and “furthermore” may sometimes be useful, overusing them when they aren't necessary can instead detract from the brilliancy of the article.
Vague terms of size often are unnecessary and redundant - “some”, “a variety/number/majority of”, “several”, “a few”, “many”, “any”, and “all”. For example, “All pigs are pink, so we thought of a number of ways to turn them green.”