Solve for x: \(\left|2x-1\right|>2\)

1
\(x \in \left(-\frac{1}{2},\frac{3}{2}\right)\)
2
\(x \in \left(-\infty,-\frac{3}{2}\right)\cup\left(\frac{1}{2},\infty\right)\)
3
\(x \in \left(-\infty,-\frac{1}{2}\right)\cup\left(\frac{3}{2},\infty\right)\)
4
\(x \in \left(-\frac{3}{2},\frac{1}{2}\right)\)

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