
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
Let $H=\log\dfrac{2+x}{2-x}$. Define a new function $I$ by replacing each $x$ in $H$ by $\dfrac{4x}{1+x^2}$, and simplify. What is the simplified expression for $I$?
A) $H$
B) $2H$
C) $3H$
D) $4H$

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