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Ongoing challenges in computing the spectrum of hadronic resonances and shallow bound-states from lattice QCD are reviewed. Since such states are identified as poles in the scattering matrix, nearby non-analyticities must be treated to analytically continue to complex center-of-mass energies. Significant lattice spacing effects have also been observed in some channels, necessitating a continuum limit. Recent achievements are also highlighted, including lattice investigations of states in the charm region, baryon-baryon scattering, and the first coupled channel meson-baryon amplitude in the channel.

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