A note for Germans writing in English.

"In doing so ..." means "In dem er/sie/es dies macht/machte/gemacht hat, ...".

Examples:
Mary ran 100 metres in 9.5 seconds. In doing so she broke the world record.
Green dropped the ball. In doing so he gave the USA a goal.
Lesley dyes her hair. In doing so she makes herself look ten years younger.

Sometimes you can't use "in doing so" as "dabei":

Die Party ging weiter. Dabei war es Mitternacht.
NOT The party went on. In doing so it was midnight. (Die Party ging weiter. In dem sie weiterging war es Mitternacht.)
Better: The party went on, even though it was midnight.

Wir haben 10 Episoden von "Lost" gesehen. Dabei umfasst die Staffel 20 Episoden.
NOT We have seen 10 episodes of Lost. In doing so the series contains 20 episodes. (Wir haben 10 Episoden von Lost gesehen. In dem sie dies macht, umfasst die Staffel 20 Episoden.)
Better: We have seen 10 episodes of Lost; there are 20 episodes in the series.

Das neue Werk produziert UHT-Milchprodukte. Dabei liegt der Schwerpunkt auf Milch und Joghurt-Drinks.
NOT The new factory produces UHT milk products. In doing so the focus is on milk and yoghurt drinks. (Das neue Werk produziert UHT-Milchprodukte. In dem er dies macht liegt der Schwerpunkt auf Milch und Joghurt-Drinks.)
Better: The new factory produces UHT milk products, the focus being on milk and yoghurt drinks.

There are lots of other ways you could translate these sentences, of course - just not with "in doing so".