I have added the [recaptcha your-recaptcha] short code to my CF7 form, but no reCAPTCHA shows up on the form. I have tried viewing the form as a logged-in user and as a guest, and I've tried it on multiple web browsers.
Contact Form 7 (Version 220.127.116.11)
Better WordPress reCaptcha (Version 1.0.1)
Contact Form 7 BWP reCAPTCHA Extension (Version 0.2)