redundant links between stack, layer 2 loops

So I have 3750g stack pair acting as core with 4 stack pair of 3750 48 ps as aggregate stack pair. Can I run two layer 2 trunk links between each of the stack switch to the agg stacks ?

so My setup will look like ;

Core stack sw 1 gig1/0/1 <- Layer 2 trunk-> Agg stack sw 1 Gig 1/0/1

Core stack SW 2 gig 2/0/1 <- Layer 2 trunk-> Agg stack SW 2 Gig 2/0/1

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Will this setup cause layer 2 issues ? Thanks.