Moab - EJS

I'm headed up to EJS on Wednesday and I'm doing one official EJS run. On the other days, I'm wondering if it is possible to run the same trail on the same day as an EJS run or are the trails closed? For example can I run Sevenmile Rim if I leave around 11:00 am (the EJS run leaves at 9:00 am)? Thanks!

From what I understand is the trail is closed all day, but I could be wrong.

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