
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
Suppose $\sin N = \frac{2}{3}$ in a right-angled triangle defined by points $L$, $M$, and $N$, with $M$ and $N$ on the horizontal axis and $L$ directly above $M$. If the length of $LM$ is now $18$, what is the length of $LN$?

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