Time to GDPR my account on klarna then.
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Your marketing profile is tied in with their accounting system. The law requires them to store accounting data for at least 7 years, with no obligation to actually remove it once that time is up. Since the accounting laws supersede the GDPR: they can hoard data pretty effectively.
The Swedish 'Data Protection Authority' tried to launch (yet another) investigation for their shady practices, but Klarna strategically applied for bank status and now the reach and power of the data authority is cripplingly limited.