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1) a deep, long channel dug in or between fields, at the sides of a road etc, used to hold or carry off water (ditch)

2) serious; very sad and disappointing; (a place with) a hole dug in the ground for a dead body (grave)

3) a deep ditch dug in the ground, e.g. for the draining of water (trench)

Synonyms
UK
US
Meaning:
immovable

that cannot be moved; not able, refusing to be affected or changed

fixed, stubborn

DUG IN as in Wiktionary
DUG IN as in Wikipedia