The term "fudgey brownies" refers to a type of brownie that is very soft, moist and rich in texture. The word 'fudge' describes a sweet, chewy confection made from sugar, butter and milk, and the term 'brownies' typically refer to a dense, chocolate cake-like dessert. So when you combine these two words together, it means that the brownies have a fudgy texture - soft, gooey and rich in flavor.