well..officially as a tech I can't advise you to go against a manufacturer's expiration date.
however, speaking solely as a mom.....of course the seat doesn't magically turn to dust on the very day it expires. The breakdown of the plastic is a gradual process over time. It is my personal belief that the manufacturers "pad" their expiration dates...of COURSE they do!! I mean....they obviosuly don't want to be liable for their product breaking down.....so I am certain that their expiration date is a CONSERVATIVE date...as in, they are certain that at that point in time, their product is still totally completely 100% safe. At some point after that date, the seats will start to break down to the point where you will get issues like straps pulling through, seats cracking and breaking in a collision, etc. but is that date at 6 years and 1 day? clearly not. is it even at 6 years and 1 week or 1 month. no, I truly do not believe it is. Because if the seats were failing at 6 years and 1 month, then how could they be totally certain they wouldn't fail at 5 years and 364 days? they dcouldn't. My personal belief is that exp dates are padded by at least 6 months, but I have no evidence for that, it's just what makes sense to me. Of course, I would never plan to use a seat past it's expiration, but would I worry AT ALL and/or limit my driving., etc for a seat that is 4 weeks or less past it's exp date?? absolutely not. not even a tiny glimmer of anxiety, worry, doubt or fear. 4 weeks worth of additional plastic breakdown, compared to a 6 YEAR guaranteed lifespan of a seat, can not possibly make enough difference to matter....just knowing a little bit about how plastic breaks down and loses integrity tells me that.
however...i am a bit concerned about one thing..you say your oldest daughter is 4 years old? Are you the first/only owner of this marathon? Because since they have a 6 year expiration, you either bought one that was already a couple years old, or else you got this one secondhand/handed-down. If that is the case, are you CERTAIN the seat was treated properly prior to you getting it?