Activating multiple regional passes

Hi, I am considering buying a JR West All Area Pass, which has a 7 day validity, but it won't cover everywhere I need to go. If I buy an additional regional JR. Pass to cover my other travels but the dates of active passes overlaps, will I be able to use the other pass?

Ex: traveling within JT All Area Pass regions for 5 days and on the 6th day (while that pass is still active) I need to travel to a new region covered by a different regional pass.

I know for the countrywide JR pass that you cannot have two active at the same time. I'm just not sure about the regional passes.