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We classify the countable linear orders $X$ for which there is an order $A$with at least two points such that the lexicographic product $AX$ is isomorphicto $X$. Given such an $X$, we determine every corresponding order $A$, andidentify when $X$ is isomorphic to its square. More generally, we characterizethe countable orders that embed at least two disjoint convex copies ofthemselves.

Left absorption in products of countable orders