
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 $\{a_n\}$, all terms are positive, and it is given that $a_{1007}a_{1012}+a_{1008}a_{1011}=18$. Find the value of $\log_{3}a_{1}+\log_{3}a_{2}+\ldots+\log_{3}a_{2018}$.

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