
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 the function $f(x)=\log_{a} \frac{2-x}{b+x} (0 < a < 1)$ is an odd function, when $x \in (-2,2a)$, the range of the function $f(x)$ is $(-\infty,1)$, then the sum of the real numbers $a+b=$ __________.

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