Of course, you could just say She took some magazines from the magazine rack.
And I think I would say took some magazines off/out OF the rack.
But whether to use off or out would depend on the shape of the rack, I think.
In the States, libraries often have magazine racks in which the current issue is displayed in an upright position. If you want to get old issues, you lift this rack and there is a shelf under/behind it, with the magazines lying down on a shelf.
I think I would say I take it off the rack if I take it from the current issue in front. If I take it from inside, I might say out.
But again, you can avoid the issue altogether by just saying you take it from the rack.
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