A drainage pipe fitting includes a cuff that permits the fitting to be coupled with pipes or fittings of various sizes. The cuff includes a plurality of sloped surfaces. For example, the cuff may include a first set of sloped surfaces and a second set of sloped surfaces on an interior of the cuff for receiving different-sized pipes or fittings on the interior of the cuff. The cuff may also include a third set of sloped surfaces, a fourth set of sloped surfaces, and a fifth set of sloped surfaces on an exterior of the cuff for receiving further pipes or fittings of different sizes on the exterior of the cuff. If desired, the cuff can include more or less sets of sloped surfaces. In some cases the sloped surfaces are arranged on internal and external fins of the cuff.
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