
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 the function $f(x)$, defined on $\mathbb{R}$, satisfy $f(x) = f(4-x)$ for any $x \in \mathbb{R}$, and its derivative $f′(x)$ satisfy $(x-2)f′(x) > 0$. When $2 < a < 4$, determine the order of the values $f(2)$, $f(2^{a})$, and $f(\log_{2}a)$.

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