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The correct outcome of the expression 7 + 5² + 13 can be calculated by following the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, we solve for the exponent: 5² is equal to 25.

Next, substitute this value back into the expression: 7 + 25 + 13.

Now, perform the addition from left to right: 7 + 25 equals 32, then, adding 32 + 13 gives us 45.

Therefore, when accurately calculating the expression, the correct answer should be 45. The option indicating "Not given" suggests that none of the provided numbers reflect the calculated result of 45, which confirms that answer. Hence, recognizing that "Not given" is indeed the correct option based on the calculation highlights the importance of checking the numbers carefully and understanding the order of operations in mathematical expressions.