、、。
By the way, how involved is Diet member Hirakawa in this matter?
Literal
By-the-way, Hirakawa Diet-member [topic-は], this matter [to-に] what-extent touching [explanation-んでしょうか].
ところで is the discourse marker for changing topic ('by the way / incidentally'). 代議士 'Diet member' is a formal term for a member of the House of Representatives. タッチする is an English loan used metaphorically for 'to be involved / have a hand in,' extending from the literal 'touch' sense — a very common wasei use. んでしょうか is the hedged polite question form.