Learn Turkish: İbraz etmem icap eden sabıka kaydı temiz. - The criminal record that I am required to present is clean.

This structure combines a verbal noun with icap eden (which means 'necessitating' or 'that is necessary'). First, we take the verb ibraz etmek (to present) and turn it into the verbal noun ibraz etme. Then we add the possessive -m to show who must do it: ibraz etmem (my presenting). Finally, adding icap eden links it to the noun: ibraz etmem icap eden sabıka kaydı translates conceptually to 'the criminal record for which my presenting is necessary'.

Could I use gereken instead of icap eden here?

Yes, ibraz etmem gereken means exactly the same thing. İcap etmek is a slightly more formal or traditional synonym for gerekmek. You will often see it in official, legal, or bureaucratic contexts, which perfectly fits talking about a sabıka kaydı (criminal record).

Why does the word kayıt change to kaydı in this sentence?

Sabıka kaydı is a noun compound meaning 'criminal record'. When the second word kayıt (record) takes the compound suffix -ı, two things happen. First, it loses its second vowel (vowel drop: kayıt becomes kayt-). Second, the final t changes to d because it is now followed by a vowel (consonant mutation: kayt-ı becomes kaydı).