Which statement is not correct?

If $x$ is an integer then $1+x^2(1+x{)}^2$

If $a|b|$ and $b|a|,$ where a and $b$ are integers, then $a=b$ or $a=-b.$

If $a$ is an integer that is not divisible by $3,$ denoted as $3a,$ then $(a+1)(a+2)$ is divisible by $3,$ denoted as $3(a+1)(a+2).$

If $a,b,c,$ and $d$ are integers, where $a0$ and $b0,$ such that $a|c|$ and $b|d|,$ then $ab|cd|.$