The document discusses avoiding run-on sentences by correctly connecting independent clauses. It provides examples of comma splices and explains that a comma alone cannot join two independent clauses. Several ways to fix comma splices are given, including using a period, conjunction, or semicolon. Situations where run-on sentences often occur, such as when a pronoun refers to a noun in the first clause, are outlined. The document concludes by showing corrections to sample run-on sentences.