Here are some examples:
* "The weather was awful, nevertheless, we had a great time." (Despite the bad weather, we still enjoyed ourselves.)
* "She knew it was dangerous, nevertheless, she went ahead with the plan." (She was aware of the risks but still proceeded.)
* "The company is facing financial difficulties, nevertheless, it continues to invest in research and development." (Despite the financial problems, they are still investing.)
In essence, "nevertheless" indicates that something is happening despite something else.