The Prescriptive Residential Deck Construction Guide shows the required fastener pattern in Figure 4, and there is a note that states that splices must occur over a post. So if your jurisdiction uses the Prescriptive Guide, you are required to put your splices over a post, unless you get the beam engineered, as others have noted.
I was trying to point out in my original post that a multiple element beam will behave exactly the same way structurally as a solid beam of the same dimension, so long as the fastening pattern develops adequate horizontal shear. If there is adequate horizontal shear, then the multiple element beam is effectively one solid piece, and there are no "splices" from a structural standpoint, so you can put the posts anywhere. After rereading the code, it is clear that the fastening pattern shown in Figure 3 is NOT designed to develop the required horizontal shear to make the multiple elements act as a single beam, hence the requirement to put the splices above a post.
Conclusion: Unless you achieve the required horizontal shear, and prove it with calculations for the selected fastener pattern, you need to put the splices over a post. My apologies for any confusion I may have created.