The two hound breeds mentioned in the crossword solutions are the BEAGLE and the BASSET. The BEAGLE is a small- to medium-sized breed of hound, similar in appearance to a Foxhound, but smaller with shorter legs. They have a distinctive howl and are used for hunting rabbits and hares. The BASSET is a short-legged breed of dog of the hound family. They have long, droopy ears and a deep bark, and are used for hunting small game such as rabbits and hares.