
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 function $f(x)$ satisfies ${f}^{,}\left(x\right)-f\left(x\right)=2x{e}^{x}$ ($e$ is the natural logarithm base) and $f\left(0\right)=1$, where ${f}^{,}\left(x\right)$ is the derivative function of $f\left(x\right)$, find the range of values of $\dfrac{{f}^{,}\left(x\right)}{f\left(x\right)}$ when $x > 0$.

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