I'm seeing both the like and share button on that page at the bottom of the article (under a picture that says "Trenger du en hage?" I mention the exact position as the page looks a little different than your image, but using the link you provided.
I was using the Chrome browser. I tried while logged into Facebook.com (not your site) and while logged out. In all cases, the Share button showed.
Can you test further and let us know any more details you can about how you're testing (browser, mobile or desktop or tablet, logged in, etc)?
We'll gladly test and investigate however we can.
Thanks,
Alex