Here's why:
* Predicate: The predicate of a sentence is the part that tells us what the subject does or is. In this case, the subject is "L.M. stories."
* Compound Predicate: A compound predicate is formed when two or more verbs share the same subject. In this sentence, the verbs "interest" and "amuse" both have the subject "L.M. stories".
Therefore, the sentence has a compound predicate because it uses two verbs, "interest" and "amuse", to describe the action performed by the subject "L.M. stories".