Cryptic crossword clue
Run crucial works around old city – right outside of course

The most common and most likely answer to this crossword clue is the 16 letter word EXTRA-CURRICULAR

I've seen this crossword clue in Independent
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Buddy explains!

The straight part
We know that "outside of course" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case outside of course = extra-curricular.
The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.
This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.

What does EXTRA-CURRICULAR mean?

EXTRA-CURRICULAR adjective
  1. Outside of the normal curriculum of an educational establishment
  2. Similarly outside of the normal duties of a job or profession
  3. Extramarital

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