追求 (zhuīqiú) means 'to pursue' a goal, dream, or romantic interest, with a sense of active effort and desire. It is more abstract and goal-oriented than 追 (zhuī 'to chase, to run after'), which can be physical or literal. Unlike 梦想 (mèngxiǎng 'to dream of'), 追求 emphasizes the action of striving, not just the wish.