Exegesis:

humin dedotai gnōnai ta mustēria tēs basileias tou theou ‘to you it has been granted to know the secrets of the kingdom of God.’ humin is emphatic as contrasted with tois de loipois. The agent of dedotai is God.

mustērion ‘secret,’ not something which is and remains a mystery, but a secret which is being disclosed by God to those to whom He grants it.

tois de loipois en parabolais ‘but to the others in the form of parables.’ The absence of a verbal clause is awkward and probably intentional (cf. Mk. 4.11); hence a rendering like, “but to the rest—parables” (The Four Gospels – a New Translation). If necessary some verb like lalō ‘I speak,’ or dedotai ‘they are given,’ i.e. the secrets of the kingdom of God (cf. Translator’s New Testament) is to be understood. The former is preferable.

hina blepontes mē blepōsin ‘that seeing they may not see.’ If a choice between a final and a consecutive rendering is necessary, the former is preferable. blepontes refers to the physical act of seeing (cf. Phillips “with their eyes open”), blepōsin to conscious and understanding perception.

kai akouontes mē suniōsin ‘and (that) hearing they may not understand,’ same differentiation between the physical act and conscious perception but this time brought out by different verbs.

Translation:

To know, i.e. to have understanding of; hence closely synonymous with the last verb of the verse.

The secrets of the kingdom of God. For secrets of Chol uses, ‘truth about … which was not previously made known.’

For (or, to) others, i.e. those who do not belong to Jesus’ disciples or followers.

They are in parables, preferably, ‘I speak in parables’ (cf. on v. 4), ‘they are told by parables’ (Marathi).

Seeing they may not see. The style of this aphorism is best preserved when different forms of the same verb can be used, cf. e.g. ‘seeing they don’t really see (perfective construction)’ (Ekari), ‘not it-is-to-be-seen to them, although they see’ (Bahasa Indonesia KB), but often different verbs or verbal phrases must be employed, e.g. ‘looking they may not perceive,’ ‘while (they) appear to them, they may not look-at (them)’ (Marathi), ‘although they have their eyes wide open, they may not see’ (Sundanese). If an object must be added, it can be pronominal reference to ‘the secrets’ (cf. Marathi), or, preferably, to the contents of the parables.

Hearing they may not understand. An interesting rendering is given in Tae,’ ‘they turn-upwards (a verb often used of the mouth held upwards to catch water) the ear, they do not understand-it (lit. find-it with the heart).’ For to understand cf. on 2.47.

Quoted with permission from Reiling, J. and Swellengrebel, J.L. A Handbook on the Gospel of Luke. (UBS Handbook Series). New York: UBS, 1971. For this and other handbooks for translators see here . Make sure to also consult the Handbook on the Gospel of Mark for parallel or similar verses.