
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 statements $P$: The solution set of the inequality $\frac{x}{x-1} < 0$ is $\{x \mid 0 < x < 1\}$; and statement $Q$: In $\triangle ABC$, "$A > B$" is a necessary but not sufficient condition for "${\sin A > \sin B}$". Among the following conclusions:

1. $P$ is true and $Q$ is false;
2. "$P \land Q$" is true;
3. "$P \lor Q$" is true;
4. $P$ is false and $Q$ is true.

Identify the correct conclusion(s) by filling in the corresponding number(s).

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