ADJ

archaeological, historical
indelible, permanent
memory (technical)

VERB + TRACE

leave
The burglar had left several traces of his presence. Little trace is left of how Stone Age people lived
bear, reveal, show
discover, find
The search party had found no trace of the missing climbers
obliterate, remove
Remove all traces of rust with a small wire brush
disappear/sink/vanish without
The ship seems to have sunk without trace

TRACE + VERB

remain
Traces still remain of the long-defunct Surrey Iron Railway

PREP

with/without a ~ of sth
'No thanks,' she said, with a trace of irritation in her voice
without ~
The plane was lost without a trace over the Atlantic

ADJ

discernible, faint, minute, slight, small, tiny
There was not the faintest trace of irony in her voice
unmistakable

VERB + TRACE

contain
The water was found to contain traces of sulphuric acid
detect, find

TRACE + NOUN

amount
element, gas, metal, mineral
Kelp is rich in vitamins and trace elements

PREP

~ of
a trace of amusement/anxiety/a smile

ADV

successfully

VERB + TRACE

be able/unable to, can
Police have been unable to trace her movements during her final days
attempt to, try to
help (to)
fail to
be difficult to
be possible to

PREP

to
The stolen paintings have been successfully traced to a London warehouse

ADV

carefully
easily
Words have over the centuries acquired meanings not easily traced in dictionaries
directly
historically
back

VERB + TRACE

can
attempt to, try to
be difficult to
The origins of the custom are difficult to trace
be possible to

PREP

to
The book traces the history of the game back to an incident in 1863

ADV

lightly

PREP

with
She lightly traced the outline of his face with her finger