Suppose $f$, $f^{\text{'}}$ and $f^{\text{'}\text{'}}$ are continuous on $\left[0, e\right]$ and that $f^{\text{'}}\left(e\right)=f\left(e\right)=f\left(1\right)=1$ and ${\int }_1^e\frac{f\left(x\right)}{x^2}dx=\frac{1}{2}$, then the value of ${\int }_1^e{f}^{\text{'}\text{'}}\left(x\right)\ln xdx$ equals -