Essentially, yes. You cannot use "Second Life" in conjunction with one other word (example: "Second Life Love" would be a violation).

Likewise other instances where it makes it sound like it could be an official product of Linden Lab, Inc. ("Official Second Life Land Sales").

Mari PP me please.

The Second Life® Brand Center | Second Life

info on using the SL brand in business names

also gives examples of whats ok and whats not

ty