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We show that for every {\eta} > 0 there exists an integer n_0 such that every2-colouring of the 3-uniform complete hypergraph on n \geq n_0 verticescontains two disjoint monochromatic tight cycles of distinct colours thattogether cover all but at most {\eta}n vertices. The same result holds if wereplace tight cycles with loose cycles.

Almost partitioning 2-coloured complete 3-uniform hypergraphs into two monochromatic tight or loose cycles