reCaptcha plugin is fully compatible with GDPR. Google warns users that perform actions using reCaptcha about the Privacy Policy and Terms of Service.
If you use reCaptcha V2, then the necessary links will be located on the reCaptcha badge under the reCaptcha logo.
If you use reCaptcha V3 or Invisible with the badge, then the necessary links will be located on the reCaptcha badge under the "Protected by reCAPTCHA" text.
If you use reCaptcha V3 or Invisible without the badge, then the necessary links will be located below the fillable form.
This article related to reCaptcha by BestWebSoft plugin
Additional resources: reCaptcha - User Guide
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