
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that the line $l$ is tangent to the curves $f\left(x\right)=\ln x$ and $g\left(x\right)=e^{x}$ at points $(x_{1}$,$\ln x_{1})$ and $({{x_2},{e^{{x_2}}}})$, then the value of $\frac{1}{{{x_1}}}-\frac{2}{{{x_2}-1}}$ is ______.

Present the answer in LaTex format: \boxed{Your answer}
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