Hi Flo:
As you point out, Order Entry indeed has a list of invoices in History. However, for the purposes of this discussion, do not even think about Order Entry. AR Statements rely exclusively on the information in AR.
The confusion arises because AR also has a list of invoices in History. Month End moves Invoices from "Current" to "History" when they are fully paid.
Technical Support is asking about History because they are trying to figure out why invoices that appear to be 5 years old are still in "Current".
However, if I read your question correctly, these Invoices were entered on May 7, 2007? Have you looked at the AR Invoice Posting Journal to see what date was applied to the Invoices? If it is Jan. 2002, what date was used on the actual Invoices? And as Andrew suggested, please run a Data Integrity Check on AR and tell us the results.