Here are some examples:
* "The sun invariably rises in the east." This means the sun always rises in the east, without fail.
* "He invariably wears a tie to work." This means he always wears a tie to work, never deviating from this habit.
* "The team's performance has been invariably excellent this season." This means the team has consistently played well throughout the season, without any dips in performance.
In essence, "invariably" signifies a lack of variation or change in something.