
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
In the Cartesian coordinate system, the line \( l \) passing through the origin \( O \) intersects the curve \( y = e^{x-1} \) at two different points \( A \) and \( B \). Lines parallel to the \( y \)-axis are drawn through \( A \) and \( B \), intersecting the curve \( y = \ln x \) at points \( C \) and \( D \), respectively. The slope of the line \( CD \) is \(\qquad\).

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