
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
1. Calculate: $2\log_{3}{2} - \log_{3}{\left(\frac{32}{9}\right)} + \log_{3}{8} - 5^{log_{5}{3}}$;
2. Given $a > 0$ and $a \neq 1$, if $\log_{a}{(2x+1)} < \log_{a}{(4x-3)}$, determine the range of values for $x$.

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