
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 lines ${l_1}: 2x + (m+1)y + 4 = 0$ and ${l_2}: mx + 3y - 6 = 0$.

(I) Find the value of the real number $m$ when ${l_1}$ is parallel to ${l_2}$;

(II) Find the value of the real number $m$ when ${l_1}$ is perpendicular to ${l_2}$.

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