
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 functions $f(x) = \log_a(2+x)$ and $g(x) = \log_a(2-x)$, where $a > 0$ and $a \neq 1$, let $h(x) = f(x) + g(x)$.
(1) When $a=2$, find the domain and range of $h(x)$.
(2) When $f(x) > g(x)$, determine the range of values for $x$.

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