Web based version of Livelink will work on Windows 7 because it requires a browser, but for the LiveLink Explorer Professional, you will need to access the LL knowledge based to download the Windows 7 upgrade. However, after further investigation, version 4.6.1 won't work on 64 bit versions of Windows.
According to some users, the LiveLink Professional works on 64 bit, but for that you need version 9.7.1. You can check for this information the Livelink Linkedin's discussion forums: https://www.linkedin.com/grp/post/155217-50903788