Solve
\[\left| \frac{3(x + 1)}{x^2 + 2x + 3} \right| \ge 1.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve
\[\left| \frac{3(x + 1)}{x^2 + 2x + 3} \right| \ge 1.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
[-3,-2] \cup [0,1]
Solve
\[\left| \frac{3(x + 1)}{x^2 + 2x + 3} \right| \ge 1.\]
train