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''The doctor determined the cause of Gina's health problem.'' is a simple sentence.
A simple sentence consists of only one clause having only one subject, the predicate. It may or may not contain an object.
In the given sentence, there is a subject 'the doctor,' a predicate "cause" and an object "cause of Gina's health problem."
On the other hand, compound sentence consists of more than two independent clauses.
An independent clause has a proper meaning and it makes sense without the other clause.
These independent clauses are joined together using a conjunction such as: yet, nor, for, so, and, but & many more.
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