It is not true, but native speakers tend to negate the main clause particularly with the verb 'think' and its relatives: 'I don't think he can remember ' is more natural than ' I think he can't remember '.
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Is it true that we should not write positive then negative sentences?These are not examples of a positive and then a negative sentence. These are two clauses of the same sentence.
e.g. I think he cannot remember the exact date.
I know he is not a nice guy.