Searches for anomalous ionizing particles, strongly interacting massive particles (SIMPs, χ), and magnetic monopoles by the ATLAS and CMS Collaborations with proton-proton collisions recorded at the Large Hadron Collider at a centre-of-mass energy of √ s = 13 TeV are presented. No evidence for such particles has been found, but lepton-like multi-charged particles with masses between 50 GeV and 980 to 1220 GeV are excluded for electric charge numbers in the range 2 ≤ z ≤ 7. SIMP masses less than

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... 100 GeV are excluded for a scalar mediator with couplings to quarks and SIMPs g q = 1, g χ = −1. An improvement by a factor five of the constraints on the direct production of magnetic monopoles with one or two magnetic Dirac charges and stable objects with 20 ≤ z ≤ 60 was achieved with respect to a previous analysis, and the charge range has been extended to 60 ≤ z ≤ 100.