
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
The teacher asked the students to solve the inequality $\frac{x+1}{2} > 1 - \frac{2x-1}{3}$. Xiaoqiang's solution process is as follows:  
Solution: Clear the denominators to get $3(x+1) > 1 - 2(2x-1)$, ... Step one;  
Expand the brackets to get $3x+3 > 1 - 4x - 2$, ... Step two;  
Rearrange terms to get $3x - 4x > 1 - 2 + 3$, ... Step three;  
Combine like terms to get $-x > 2$, ... Step four;  
Convert the coefficient to $1$ to get $x > -2$. ... Step five;  
Xiaogang, sitting next to Xiaoqiang, found an error while helping Xiaoqiang correct it. He asked Xiaoqiang to identify the step where the error occurred, explain the reason for the error, and then redo it correctly. Please carefully review Xiaoqiang's solution process and answer the following two questions:  
$(1)$ The incorrect steps in Xiaoqiang's solution process are steps ______;  
$(2)$ After redoing it, Xiaoqiang's correct solution process is:

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