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There are no strategies, just open it and report everything that is wrong.
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If the posts could have a kind of marker that can show that the post was already reported or not (irrespectively of the report if it was good or not), it would speed up this whole process
Also, if you are reading thru a topic and you see something that worth reporting, you could also check if someone has already reported it or not...
This way, the reporters would not work parallel, so reporting could become more effective
EDIT:
Is it possible to just split this patrol page for Bitcoin board and for everything 'Other'?