Influenced by articles in Le Monde and Die Welt (5)

I believe the answer is:

under

'influenced' is the definition.
(eg under the influence of drugs)

I don't understand how the rest of the clue works.

(Other definitions for under that I've seen before include "Beneath or subordinate to" , "Dylan Thomas radio play ''.... Milk Wood''" , "Sub" , "See 16 Down" , "Inferior" .)

I've seen this clue in The Times.

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