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Let D be an arc-3-cyclic, semicomplete digraph and uv be an arc of D contained in a cycle of length r. If vu A(D) then the arc uv is contained in cycles of length h: 3 h r, or if δ + (D), δ - (D) 3 then the arc uv is contained in cycles of length h: 6 h r. Also included in this paper is a very useful crossing arc theorem.