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Table 1.

Summary of the steps considered for the sample selection.

Selection Number of objects
HELM-1σ HELM-2σ HELM-3σ
Initial HELM selectiona 3955 203 19

Brown-dwarfb 3 0 0
χ2(Av < 1) < χ2(Av free) 1326 28 1
z > 8.5c 3 1 0
Spectroscopic datad 9 1 1
Visual inspection 1425 15 3

Final HELM sample 1189 158 14

Notes. aSee Eq. (1); bMatching with the sample by Holwerda et al. (2024); cMatching with the sample by Finkelstein et al. (2024); dSources that are removed from the HELM sample thanks to spectroscopic data (Sect. C).

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