A sentence that contains a combination of both dependent and independent clauses, along with a clause connector, is called a "complex sentence." A complex sentence is a type of sentence structure that includes at least one independent clause and one or more dependent clauses.

The independent clause in a complex sentence can stand alone as a complete thought, while the dependent clause cannot function independently and relies on the independent clause for its meaning. The clause connector, often a subordinating conjunction, helps establish the relationship between the clauses, indicating how they are connected in terms of time, cause and effect, contrast, condition, etc.

Example of a complex sentence:

"While I was studying for my exam (dependent clause), my friend was watching a movie (independent clause)."

In this example, "While" is the subordinating conjunction (clause connector) that introduces the dependent clause "While I was studying for my exam," and the independent clause "my friend was watching a movie" forms a complete thought on its own. The complex sentence combines these clauses to create a more sophisticated and detailed expression of ideas.