A fully automated converting machine forms the cases, and a grouping/loading device opens the case's upper flaps for loading. A conveyor moves product units arriving from upstream into the grouping section of the grouping/loading device. These product units are then pushed out three to a row, with pushing repeated three times (for 3x3 packs) or two times (for 3x2 packs) to form a group. The group is then inserted into the waiting case. The case moves into a fully automated sealing machine, which automatically folds the inner and outer flaps and then applies tape while the case is in transport. The finished case then exits the system.