
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 that points $A$, $B$, and $C$ lie on the straight line $l$, and the vectors $\overrightarrow{OA}$, $\overrightarrow{OB}$, $\overrightarrow{OC}$ satisfy the equation $\overrightarrow{OA} - [y + 2f'(1)]\overrightarrow{OB} + \ln(x+1)\overrightarrow{OC} = 0$, find the expression of the function $y = f(x)$.

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