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Fig. 5.

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Cumulative SFR of the quasar pair fields compared to the ten protocluster zoom-in simulations of FOREVER22 at z = 3 (Yajima et al. 2022), the 32 most massive halos from Magneticum at z = 2.79 (Remus et al. 2023; Dolag et al. 2025), and known protoclusters from the literature (Wang et al. 2025 and references therein). The dotted line shows the cumulative SFR of the mean blank field in FOREVER22 (Yajima et al. 2022).

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