
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 function $f(x)=m\ln x$.  
$(1)$ Discuss the monotonicity of the function $F(x)=f(x)+ \frac {1}{x}-1$;  
$(2)$ Definition: "For functions $y=f(x)$ and $y=g(x)$ defined in the region $D$, if $f(x)\leqslant g(x)$ always holds, then the curve $y=g(x)$ is called the adjacent curve of $y=f(x)$ in the region $D$." Is there a common adjacent line between the curve $y=f(x+1)$ and the curve $y= \frac {x}{x+1}$? If yes, find the value of the real number $m$; if not, explain why.

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