Let's simplify the expression step by step:
Start with the expression: \[ 4531 - 465 \cdot (462 - 462) + 1 \cdot 42 \]
Calculate the expression inside the parentheses: \[ 462 - 462 = 0 \]
Now substitute this back into the expression: \[ 4531 - 465 \cdot 0 + 1 \cdot 42 \]
Since anything multiplied by 0 is 0: \[ 465 \cdot 0 = 0 \]
The expression now simplifies to: \[ 4531 - 0 + 1 \cdot 42 \]
Calculate \(1 \cdot 42\): \[ 1 \cdot 42 = 42 \]
Now the expression is: \[ 4531 + 42 \]
Finally, add the two numbers: \[ 4531 + 42 = 4573 \]
So, the final result is: \[ \boxed{4573} \]