Cryptic crossword clue
Unfinished BBQ boxes in cooler, vessel returned again to cold storage? Kelvin

The most common and most likely answer to this crossword clue is the 4 plus 6 letter word BACK BURNER

B
A
C
K
B
U
R
N
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R

Buddy explains!

The straight part
We know that "cold storage" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cold storage = back burner.
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 BACK BURNER mean?

BACK BURNER adjective
  1. Having low urgency; not currently important.
BACK BURNER verb
  1. To relegate to a lower priority

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