\[\large \sin \theta_{1} + \sin \theta_{2} + \sin \theta_{3} \]

Given that \(\cos \left( \theta_{1} -\theta_{2} \right) + \cos \left( \theta_{2} -\theta_{3} \right) + \cos \left( \theta_{3} -\theta_{1} \right) = -\dfrac{3}{2} \), find the value of the expression above.

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