Two functions to enrich your writing: addition (adding information) and concession (showing a contrast or unexpected outcome).
Different ways to add information to a previous statement:
To show a contrast or unexpected outcome:
Addition = "+", concession = "but" / "however". Don't confuse them.
Although / though / even though + subject + verb. In spite of / despite + noun / V-ing.
Linkers like Moreover, However, Therefore always need a comma after them.
A frequent trap: students write "although + V-ing". WRONG. Use "although + subject + verb", or replace with "despite + V-ing".