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Schizophrenia causes its victims to lose touch with reality. They often begin to hear, see, or feel things that aren't really there (hallucinations) or become convinced of things that simply aren't true (delusions).
No, convinced is a verb. Example: I hope you are convinced that it's a verb.
I was convinced that the man was bluffing
After presenting all the evidence, she was convinced that he was telling the truth.
Slowly is not modified by any word in this sentence.
But slowly modifies convinced.
Slowly is an adverb of manner and it modifies the verb convinced. It tells us in what manner you were convinced.