
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 the function $f\left(x\right)=x^{3}+bx^{2}+x$ is an odd function defined on $\left[2a-1,3-a\right]$, the solution set of $f\left(2x-1\right)+f\left(x-b\right) \gt 0$ is ____.

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