Actually, when you set up the card to accept apps, it becomes the "Internal" storage. Since you moved the apps from the original storage to the new SD card "Internal" storage it is very common for it to show as both.
The change makes the card become your "Internal" storage. So the device will register everything differently. The only way around this is to not have the SD card changed to "Internal" storage, and move things like photos, videos, music, etc., over to the card only.