How is this sentence:
Process a scan if the last scan processed is older than the update time (in seconds).
different in meaning from this sentence?
Process a scan if the last processed scan is older than the update time (in seconds).
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Essentially there's not much difference: in both sentences, the relevant three words refer to the last to be processed of all the scans you've processed.
But if you want to go into minor details and nuances, there's a slight difference in which part is 'stressed':
There is no difference.
The phrase 'last scan' as opposed to 'last processed scan' could have some ambiguity, because the former could refer to the last of all the scans, not just the most recent.
However in this specific context, with the addition of the word 'processed' and the rest of the sentence, they mean the exact same thing, and can only mean the exact same thing.