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Legislatures,
losing
propositions
(5)
Legislatures, losing propositions (5)
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The whole clue is the definition (& lit or double definition).
How the clue works
Legislatures gives you DIETS in the sense of parliamentary assemblies like the Japanese Diet, and then losing propositions gets you there again — weight-loss plans being, rather neatly, propositions aimed at losing. Two definitions for the price of one.