
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 on side \(CD\). It is known that \(\angle LAE + \angle KCD = 108^\circ\), and \(AK: KE = 3:7\). Find the ratio \(CL: AB\).

A regular pentagon is a pentagon in which all sides are equal and all angles are equal.

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