How Can Entries Be Higher Than Visits?

the difference are those visits, that did not record any “Product Special Price Code” (and therefore are not having an “Entry Count for the price code”). that means, they miss an “Entries” on this specific dimension.
you can easely check by creating two segments “Product Special Price Code exists” and “Product Special Price Code does not exist”

Do you have any other filters applied at the panel level that might be impacting things? Are you using a Virtual Report Suite (the segments for that could also count towards impacting things)
 

But yes, I think there may be a problem with your “Product Special Price Code” tracking that is causing the mismatch… if you were to take that out, and just look at a few of those specific products, I bet you will see a big difference.

Keep in mind that “Entries” is a visit scoped dimension (it captures the first value seen in the visit)… whereas Visit could be any time in the visit… some users may have looked at the same Product twice… the second view had the “Product Special Price Code” whereas the first view did not.