Here are the relevant sections of the AdSense policy:
Directly or indirectly encouraging users to click Google ads is not permitted by our program policies. For instance, publishers may not place ads under misleading headers or titles as this may confuse users into thinking the ads are actually site links related to that header. To avoid this issue, we ask that publishers use only "sponsored links" or "advertisements" to label ads.
Publishers should not use:
- "My favorite sites"
- "Latest news"
Misleading to clicks
Publishers are not allowed to use language to lead users to click Google ads, such as:
- "Feel free to click an ad"
- "Contribute to the cause, visit an ad"
- "Help keep this site running, check out our sponsors"
- "We need a new server. Support us!"
Even the "our sponsers" language being used is against policy. Only "sponsored links" or "advertisements" are permitted.
The "sorry about the ads" statement is very similar to the specific examples disallowed under the "Misleading to clicks" section. It is not as direct as some of the examples, but their policy also prohibits indirectly encouraging users to click the ads.