I don't mean to come off as impatient, but I'm just curious as to how quickly runs are verified by admins? I'm sure it varies depending on the category, game, etc, but I was just wondering if there was a general expectation as to when my run should be verified upon submission.
It does vary, but you could look at some of the more recent runsin your category and see how much time passed between submission and acceptance. Should give you a idea of what to expect
Moderators aren't considered inactive until runs sit unverified for 2-3 weeks (although if they login once every 2 weeks just to verify an exception can be made because they are still inactive most of the time).
If your run is approaching that time of waiting, you can reach out to the mod(s) on social media or through the forums. Just don't harass them a lot or right after submitting a run, only if your run is in limbo for a while.
Finally, if you don't hear back from them and still don't get verified, you can post here http://www.speedrun.com/The_Site/thread/63nr7/170 to request to become moderator.