At expert level, you will need techniques like X-wing - when a candidate appears in exactly two cells in each of two rows (or columns), forming a rectangle, you can eliminate that candidate from other cells in those columns (or rows). Pointing pairs and box/line reduction become routine.
Chain logic may also be required: following a sequence of implications from one candidate placement to see if it leads to a contradiction. Expert puzzles demand focus and persistence, but the satisfaction of completing one is unmatched.