
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 $f(x)= \frac {1}{2}x^{2}-2x,g(x)=\ln x$, when $x > 1$, the inequality $2f′(x)+xg(x)+3 > m(x-1)$ always holds, then the maximum value of the integer $m$ is \_\_\_\_\_\_.

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