If you wear the Body Card and Bioring same time it leads to a dual harmonization. That does not mean that it will be twice as good but rather that it leads to unintentional interference caused by the vibrations emanating from the products that are not in phase.
Imagine a song that you are listening to through headphones on your mp3-player while your stereo also plays the same song, however, you have not started the songs at the same time. The result is a rather unpleasant cacophony. Similarly, if you wear two products your body feels the simultaneous influence of two harmonizing systems.
So the answer is: You need to decide whether you prefer to wear the BodyCard or BioRing. Both are not recommended.