
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 that the function f(x) is defined on the domain R, is strictly decreasing on (2, +∞), and y = f(x+2) is an even function, determine the solution set of the inequality f(2x - 1) - f(x + 1) > 0 in terms of x.

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