
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 $f(x) = \frac{1}{2}mx^2 - 2x + \ln(x + 1)$ ($m \in \mathbb{R}$).

(Ⅰ) Determine whether $x=1$ could be an extremum point for the function $f(x)$, and justify your reasoning;

(Ⅱ) If there exists an $m \in [-4, -1)$ such that the function $g(x) = f(x) - \ln(x + 1) + x^3$ defined on the interval $[1, t]$ attains its maximum value at $x=1$, determine the range of possible values for the real number $t$.

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