
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
If $x$ is a real and positive value growing beyond all bounds, calculate the limit of the expression $\log_4{(12x^2 - 3x - 2)} - \log_4{(4x^2 + x + 1)}$.
A) 0
B) 1
C) 3
D) $\log_4 3$
E) $\text{no finite number}$

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