CD Japan can be kinda slow though. Availibility on their page says 3-7 days but once you order they get back to you after a few days saying "Hey, it will take us 3 weeks to get this itrem!". Happened to me before more than once.
One time they couldn't even get the item AT ALL, so they cancelled the order after 2 months. Doesn't stop them from still listing the same item as "availible" on their site even until today, years later.