[even though]   Even though Caroline was sick, she attended the meeting.

[but...anyway]   Caroline was sick, but she attended the meeting anyway.

[despite the fact that]   Despite the fact that Caroline was sick, she attended the meeting.

[however]   Caroline was sick. However, she attended the meeting.

[although]   Although I had a bad interview, I got the job.

[but...anyway]   I had a bad interview, but I got the job anyway.

[despite the fact that]   Despite the fact that I had a bad interview, I got the job.

[nevertheless]   I had a bad interview. I got the job nevertheless.