The CAA have 21 trays in PLD. When your application arrives they take payment and put it into tray 1. The next day it moves into tray 2, the next day tray 3. Come back 18 days later and it gets removed from tray 21 and processed (takes about 10 minutes).
Think I'm joking? I've spent enough time loitering in the "atrium" peering through the windows to see how long it takes to issue a license. Note that the 10 minute period is of course regularly interrupted by visits to the subsidised canteen to drink coffee 8 times per day, smoke cigarettes on the (covered) smoking balcony and peruse the regular street markets that appear between 11am and 2pm. Also worth noting that the canteen has a special "expensive" rate for visitors, despite the fact that they're the ones who actually subsidise it in the first place!!