Overlapping the use of 2 for 1 Spring Flexi Swiss Passes

The 2 for 1 spring special flexipass is a very nice deal. It would be advantageous to us to purchase two passes for each of us and use them as follows. Start the first pass and use it for three rail days and then begin using the second pass until its 4 rail days are consumed. The last rail day on the first pass would be the last rail day of our trip. The advantage here is that the first pair of passes would remain alive such that we could take advantage of the discounts on any non-rail days. Is this allowed? I've not seen the detail in the product description. Thanks
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