B737 First Officer reports being cleared via ZIMMZ Q42 BTRIX Q480 AIR but cannot find the route on the High 3/4 enroute chart. The FMC accepts the route as filed. Out of date charts are suspected.

Narrative

The non-standard filed route was: ZIMMZ Q42 BTRIX Q480 AIR J110 STL J19 ZUN ... Upon review; I found the High 3/4 Enroute chart did not have the Q480 route and the Q42 route did not start at ZIMMZ or end at BRTIX. The aircraft did accept the routing and; upon further searching; I discovered the High 7/8 Enroute Chart did have the correct Q480 and Q42 routes. I searched the LEP for the ship set; but was unable to find anything that showed the current dates for the enroute charts. When we arrived; they swapped out our ship sets and gave us new ones. That ship set also had High Enroute 3/4 charts with the same date. We did have a chart (the 7/8) we could navigate from; but I do not believe it is wise to be carrying non-current charts (the 3/4). I do not know whether this is because the FAA hasn't sent the information to [the chart maker] or if [the chart maker] has inadvertently failed to produce or swap out the charts. I am unsure why the effective dates of the enroute charts are not listed with the other charts and pages in the LEP.