How Does the Duckworth–Lewis–Stern Method Set a Target After Rain in Cricket?

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I understand that a rain delay can reduce the number of overs in a cricket match, but I still find the revised target hard to follow. Sometimes the team batting second gets fewer overs and a target that seems lower than expected.

What factors go into the Duckworth–Lewis–Stern method when officials recalculate a target? I’d like to understand the basic idea without getting lost in the full mathematics.

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