A semicolon can do all of the following except

join clauses with a conjunctive adverb
join items in a serial list
join two incomplete sentences
join two independent clauses

Semicolon can do all of the following, including joining clauses with a conjunctive adverb, joining items in a serial list, and joining two incomplete sentences. However, a semicolon cannot join two independent clauses; instead, a semicolon is used to separate and emphasize two independent clauses.