My order was supposed to be shipped "by ____", but it has not been shipped yet.

The wording in the order summary "Your order will be shipped by:" indicates the deadline by which we will ship your order. However, if the products become available earlier than expected, we might ship them sooner. In any case, the order will be shipped by the indicated date, and you may receive the shipping confirmation email by the evening of the specified day.

For example, if the indicated shipping date is August 20th, you might receive the shipping confirmation even at 8 PM on that day.