if the day they are marked sold is greater than 45 days then they are shown
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Remember there is nowhere that shows what day an ad is sold. You can not judge the 45 day mark by looking at an ad really.
You can have an ad you posted 6 months ago as a duration but if it was marked say sold 3 days ago it is still going to show for 42 more days since the sold date is not going to be less than your cutoff.