
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 the function $f(x) = 3\sin(2x - \frac{\pi}{3})$ and its graph $C$, identify the correct statements from the following:  
① The graph $C$ is symmetric about the line $x = \frac{11\pi}{12}$;  
② The graph $C$ is symmetric about the point $(\frac{2\pi}{3}, 0)$;  
③ The function $f(x)$ is not monotonic in the interval $(-\frac{\pi}{12}, \frac{5\pi}{12})$;  
④ The graph of $y = 3\sin2x$ can be shifted right by $\frac{\pi}{3}$ units to obtain graph $C$.

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