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Yes! You can create multiple ads within the same ad group to help you find the best performing ads. Google generally recommends at least two Expanded Text ads (these are ads where you control which ad copy is shown) and one Responsive Search ad (these ones pick from a list of phrases) for an ad group.
It is not recommended to use the exact same keyword in different ad groups however.
If you want to test the same keyword with different settings or landing page, it is better to set up a Campaign experiment or an Ad variation (these are available under Drafts & Experiments) so that the ads don’t compete with each other.
Fortunately, if two ad groups have the same keywords but with different match types (exact match, broad match etc) it is improbable that these keywords will compete.
Google assigns a different Ad Rank depending on which match type you have used, with a higher ad rank being assigned to keywords that are more specific. The keyword with the highest Ad Rank is preferred for triggering an ad, and so as long as the match types are different Google will go with the most specific match from your keywords.
This tip and many others are found at https://www.petramanos.com/category/tips/