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The theory of QCD in 1+1 dimensions with a large number of colors, called the 't Hooft model, is exactly soluble in the sense that hadronic Green functions may be computed ab initio in terms of quarks and gluons. One of the most natural questions in this framework is how partonic diagrams add up to give hadronic results, the so-called quark-hadron duality. Here we consider this duality for the case of heavy-light meson decays by comparing the computable hadronic sum to a heavy quark operator product expansion. The numerical and analytic approaches are discussed and merged into a combined method that is used to probe the successes and limitations of both. We show that duality is satisfied to an exceptional degree as soon the threshold for the first excited state of the final-state hadron is passed. We also demonstrate a convincing degree of duality in differential distributions and the analogue to Re+e- → hadrons.
