
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 a regular pentagon \(ABCDE\), point \(K\) is marked on side \(AE\) and point \(L\) is marked on side \(CD\). It is known that \(\angle LAE + \angle KCD = 108^\circ\) and the ratio \(AK: KE = 3:7\). Find \(CL: AB\).

(Note: A regular pentagon is a pentagon in which all sides and angles are equal.)

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