
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 a geometric sequence with positive terms $\{a_n\}$ with a common ratio $q \neq 1$, it's given that $a_3 = 1$. For the function $f(x) = \frac{3^x}{3^x + 1}$ where $x \in \mathbb{R}$, evaluate $f(\ln a_1) + f(\ln a_2) + f(\ln a_3) + f(\ln a_4) + f(\ln a_5)$.

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