I wonder if the 32gb SSD isn't intended for a cache file to speed up HD. Those we've seen have all been 32 gb.
We have helped users install Win7 to them, though, so after checking if Win7 is already installed on it, if you want to do so you may need to delete and format it first with our help which is how this has worked before. This causes the booted installer to see the SSD so you can install there.
You may also need to turn off a RAID setting in BIOS (most often by changing SATA controller to AHCI before reinstall) and onboard Intel Rapid Storage technology in some cases. We can get into this more if these come into play.
So it's a challenge to install the OS to the small SSD intended for use as a cache drive but we can help you as we have with about a dozen of these already.
Step 14 in Clean Reinstall - Factory OEM Windows 7
also shows how to link the data easiest from the HDD.