
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 rectangular coordinate system, a line $l$ passing through the origin $O$ intersects the curve $y=e^{x-1}$ at two distinct points $A$ and $B$. Lines parallel to the $y$-axis are drawn through points $A$ and $B$, intersecting the curve $y=\ln x$ at points $C$ and $D$, respectively. Determine the slope of the line $CD$.

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