
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 $a=\log_{0.2}0.3$ and $b=\log_{2}0.3$, determine the correct relationship among $a$, $b$, $a+b$, and $ab$.

A) $a+b < ab < 0$
B) $ab < a+b < 0$
C) $a+b < 0 < ab$
D) $ab < 0 < a+b$

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