Linear Expansion of Metal Strips

The temperature of a metal strip having coefficient of linear expansion α is increased from $T_1$ to $T_2$ resulting in increase of its length by $\Delta L_1$ . The temperature is further increased from $T_2$ to $T_3$ such that the increase in its length is $\Delta L_2$ .
Given $T_3 + T_1 = 2T_2$ and $T_2 - T_1 = \Delta T$ , the value of $\Delta L_2$ is _____.

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