
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 $f(x) = \ln x - a \frac{x-1}{x+1}$, where $a \in \mathbb{R}$.
  
(Ⅰ) Discuss the intervals of monotonicity for $f(x)$;

(Ⅱ) For $x \neq 1$, it is always true that $\frac{(x+1)\ln x + 2a}{(x+1)^2} < \frac{\ln x}{x-1}$. Find the range of values for $a$.

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