The term 'weigh heavily on' can be summarized by three crossword solutions: OPPRESS (7 letters), TAX (3 letters), and PREY (4 letters). OPPRESS is a verb meaning to subject someone to cruel or unjust treatment, while TAX is a noun referring to a fee imposed by a government on its citizens. PREY is a verb meaning to exploit or victimize someone for one's own gain. All three words refer to the idea of a powerful entity taking advantage of a weaker one, which is what 'weigh heavily on' implies.