These are general questions.
What are the issues involved in running #12 (line out) speaker wire and video (monitor) cable in the same conduit? (I don't know exactly which cable is going to be used for the video, but I assume that the same issues may be present regardless of what type it is???)
The furthest length of run that will be run together will be around 125'.
Do they need to have their own outlet boxes?
Thanks in advance.
I would have to agree with Haoleb and MDS.
It's OK to run your low voltage wire in the same conduit. (speaker & video)
Also to answer your question of needing separate boxes. Low voltage can share the same box, it doesn't really need a box, just a low voltage ring, to screw the wall plate to.
As for the 125' wire run. It's really not all that long. It not ideal, but it's not that big a deal.
12-AWG will work fine in most, applications.
It would help to know the load, and the wattage of your amp.
One hates to assume.
Are the long runs for rear surrounds, or a zone-2 application?
If so, they probably won't be played at reference levels, so 12 wire is definitely OK.