Let $ S $ be the set of all real roots of the equation, $ 3^{x}\left(3^{x}-1\right)+2=\left|3^{x}-1\right|+\left|3^{x}-2\right| $. Then $ S $: [JEE Main 2020, 8 Jan (Shift 2)]

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Let \( S \) be the set of all real roots of the equation, \( 3^{x}\left(3^{x}-1\right)+2=\left|3^{x}-1\right|+\left|3^{x…

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