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Based on my reputation (between 500 and 750), I should be able to cast Close and Reopen votes as well as access the First Posts and Late Answers review queues.

When I try to access both of those review queues, it tells me "Daily up/down vote limit reached; come back in 8 hours." But, if I look under the stats, I see that I have done 0 reviews today.

How can I have reached my daily review limit in the queue when I haven't actually reviewed anything?

2

That means you have done your maximum daily votes on questions/answers (40). I suppose the assumption is that you should be able to vote on questions/answers to access those review queues.

~8 hours in when the "day" switches for StackExchange

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