
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
A rectangular painting is placed in a rectangular frame made of strips of the same width. The area of the painting is equal to the area of the frame. What is the ratio of the length to the width of the painting in the frame if, without the frame, the ratio of the length of the painting to its width is $2:3$?

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