Final answer:
Ad extensions do not automatically show with ads regardless of Ad Rank. A higher Ad Rank can improve the chances of ad extensions appearing with your ad, as it is determined by several factors including bid amount and quality of the ads.
Step-by-step explanation:
The statement that extensions show with your ad regardless of your Ad Rank is false. Ad extensions can indeed enhance the appearance of your advertisements on search engines like Goo-gle, but their display is not guaranteed. Ad Rank plays a vital role in determining whether or not your extensions will show. Ad Rank is essentially a value that's calculated based on your bid amount, the quality of your ads and website, the Ad Rank thresholds, the competitiveness of an auction, the context of the person's search, and the expected impact of extensions and other ad formats. Therefore, having a higher Ad Rank can improve the probability of your ad extensions being shown along with your ad.