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On the reverse (back side) of the coin, near the edge to the left of the eagle, just up and left from the words "HALF DOLLAR". See the related links for a picture that illustrates the location of the mintmark for this series. If there is no mintmark, the coin was minted in Philadelphia. "D" stands for Denver, and "S" for San Franciscio.

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Q: Where is the mint mark on 1945 50 cent American?
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