do independent clauses contain a subject and a verb

Yes.

All clauses contain at least one subject and at least one verb.

studing

Yes, independent clauses do contain a subject and a verb. An independent clause is a group of words that can stand alone as a complete sentence because it expresses a complete thought. It consists of a subject, which is typically a noun or pronoun that performs the action, and a verb, which is the action or state of being. The subject and verb combination is essential for forming a grammatically correct sentence or independent clause. To identify the subject and verb in a sentence or clause, you can ask yourself, "Who or what is performing the action?" (subject) and "What is the action being performed?" (verb).