Higgs bosons produced at high momentum are rare but measurable. Their kinetic spectrum can give us a unique insight on whether anomalous interactions are present at the TeV scale. The production of Higgs boson pairs is even rarer - about 1000 times less frequent- but, in new physics models, it can be enhanced, especially when the pairs are produced at high momentum. This talk reviews how final states with jets have enabled the exploration of these rare processes, even in a difficult collider environment that is full of quarks and gluons such as the LHC, and how advancements on jet substructure and graph neural networks have drastically improved our capability of identifying boosted Higgs bosons and increased our physics reach.