
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
Compose the equations of a line passing through the point \(A(-2,3,1)\) that is parallel to the line given by the system of equations:

$$
\left\{\begin{array}{l}
x - 2y - z - 2 = 0 \\
2x + 3y - z + 1 = 0
\end{array}\right.
$$

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