
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 two lines $l_1: mx-2my-6=0$ and $l_2: (3-m)x+my+m^2-3m=0$,

1. If $l_1 \parallel l_2$, find the distance between $l_1$ and $l_2$.
2. If the area of the triangle formed by line $l_2$ and the positive half-axes of the two coordinate axes is maximum, find the equation of line $l_2$.

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