staining and damage; soiling and defacement
A compound noun blending the meanings of 汚損 (staining/soiling) and 破損 (damage/breakage). Used for combined or general damage that includes both dirt/stains and physical breakage or defacement.
Staining and damage to library books has become a problem.
If the product has staining or damage, you can return it.
破損 means physical damage or breakage, without the implication of staining.
A blend of 汚損 (staining) and 破損 (damage), likely coined to cover both types of damage in a single term.