
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
Find all integer solutions of the equation \( x \ln 27 \log_{13} e = 27 \log_{13} y \). Provide the sum \( x + y \) for the solution \((x, y)\) in which \( y \) is the smallest number greater than 70.

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