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The analyses use up to 139 fb$^{-1}$ of proton-proton collision data at a centre-of-mass energy $\\sqrt{s}=13$ TeV recorded with the ATLAS detector at the Large Hadron Collider during 2015-2018. The results from three of the most sensitive searches are combined statistically. These searches target signatures with large $E_{\\mathrm{T}}^{\\mathrm{miss}}$ and a leptonically decaying $Z$ boson; large $E_{\\mathrm{T}}^{\\mathrm{miss}}$ and a Higgs boson decaying to bottom quarks; and production of charged Higgs bosons in final states with top and bottom quarks, respectively. 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