Adobe Analytics detects paid from natural search via search detection configuration parameters. If the configuration is not done and/or there are no means to distinguish then Adobe Analytics by default will not differentiate. Reference link information below:
https://marketing.adobe.com/resources/help/en_US/reference/paid_search_detection.html
Paid Search Detection
Paid Search Detection differentiates paid from natural searches in the Search Engines and Search Keywords reports. You can specify the search engines where you use paid ads, and specify a character string found in the URL of a visit from a paid ad.
https://marketing.adobe.com/resources/help/en_US/reference/t_paid_search_detection.html
Configure paid search detection
Steps that describe how to configure Paid Search Detection.
- Click Analytics > Admin > Report Suites to open the Report Suite Manager.
- Select a report suite.
- Click Edit Settings > General > Paid Search Detection.
- On the Paid Search Detection page, configure the fields described in Paid Search Detection - Descriptions.
- Click Add.
The Current Paid Search Detection Rules list displays current paid search detection rules.