
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 $S_{n}$ is the sum of the first $n$ terms of the sequence ${a_{n}}$, and $2S_{n}=3a_{n}-2 (n\in\mathbb{N}^{*})$.
(I) Find $a_{n}$ and $S_{n}$;
(II) If $b_{n}=\log_{3}(S_{n}+1)$, find the sum of the first $n$ terms of the sequence ${b_{2n}}$, denoted as $T_{n}$.

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