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No. Monopolistically competitive firms, by definition, invest in R&D to create product specialisation. R&D is a form of fixed-investment, so if the firm continually invests in R&D during all periods, then, in the long-run, AC cannot equal MC because FC/x will not approach 0 (assuming the firm constantly invests). If the firm ceases to invest at any point to remain specialised, then it will eventually approach MC = AC as x -> infinity in the long-run.

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