According to Radio Shack:
Refreshed phones are models that have been restored and repackaged internally (no full warranty), while remanufactured are used phones provided from a third party that have been remanufactured with a new warranty.Additionally, users buying phones on Verizon also receive a $50 Radio Shack gift card.
Those looking for an iPhone 4S will be able to purchase a refreshed or remanufactured model on AT&T for $99.99 (iPhone 4S 16GB) and $149.99 (iPhone 4S 32 GB). Verizon models of the iPhone 4S are available for $99.99 (iPhone 4S 16 GB), $199.99 (iPhone 4S 32 GB) and $299.99 (iPhone 4S 64 GB).
Radio Shack has been fairly active offering special promotions and deals for the iPhone and iPad.