This is a regular crossword, except that some of the clues give an answer that is twice as long as the number of squares given. These are all preceded by “50% OFF” indicators, and either the first or second half of the answer must be left off to form a crossword-legal entry to place in the grid. The completed grid looks like this:
Here are the longer answers to the 50% off clues, in case the grid doesn’t help with them: 1A) CHICKENS, 9A) WILLIAMS, 10A) CHLORIDE, 14A) FIBULA, 16A) NUCLEI, 17A) MACRON, 31A) TRUSTY, 32A) BO PEEP, 33A) HORNET, 35A) EXPONENT, 41A) COURTIER, 42A) FEMININE, 43A) ANYWHERE, 2D) ARCHIE, 3D) UPHILL, 4D) CLEFAIRY, 5D) ARTHUR, 6D) VIOLATIONS, 8D) DELICATE, 18D) ARIANA, 25D) STAIRS, 26D) REPEAT, 27D) FLASHY, 30D) LAST SUPPER, 32D) BETHSEDA, 34D) BARITONE, 36D) BEFORE, 38D) DIPPER, 39D) CAPONE, 40D) SEETHE
Clue 24A, “The answer, without a discount” can be determined from the crossing down clues to be MILITARIES. To solve the puzzle, take 50% off from this to get ARIES.