# Question on the Selberg-Delange Method

It says at the beginning of section 6.2 that they use a weakened version of the general result found in Tenenbaum's book. In the book, the theorem is stated for $$x\geq 3$$ and in the article, they use it for $$x\geq 2$$. I have read the proof of the theorem in the book, and I am not sure where we need to use this hypothesis on $$x$$, and I am not sure why it can be changed to $$x\geq 2$$, as in the article.
The difference between $$x\ge3$$ and $$x\ge2$$ is, in my opinion, completely unimportant. When $$2\le x<3$$, the sum being considered is just $$a_1+a_2$$, and the right-hand side of the asymptotic formula is some continuous function of $$x$$ plus $$O(1)$$; this is trivially a true statement.