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We show:\n  \\pi(K_4^-, C_5, F_{3,2})=12/49, \\pi(K_4^-, F_{3,2})=5/18, and\n  \\pi(J_4, F_{3,2})=\\pi(J_5, F_{3,2})=3/8, where J_t is the 3-graph consisting of a single vertex x together with a disjoint set A of size t and all $\\binom{|A|}{2}$ 3-edges containing x.\n  We also prove two Tur\\'an density results where we forbid certain induced subgraphs:\n  \\pi(F_{3,2}, induced K_4^-)=3/8 and\n  \\pi(K_5, 5-set spanning 8 edges)=3/4.\n  The latter result is an analogue for K_5 of Razborov's result that","authors_text":"Emil R. 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