die Fortführung
continuation
The continuation of an action, project, or state that has already begun.
Die Fortführung der Bauarbeiten ist für das nächste Frühjahr geplant.
The continuation of the construction work is planned for next spring.

continuation
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continuation
The continuation of an action, project, or state that has already begun.
Die Fortführung der Bauarbeiten ist für das nächste Frühjahr geplant.
The continuation of the construction work is planned for next spring.

'Die Fortführung' (continuation) is the nominalization of the separable verb 'fortführen' (to continue). The verb is made up of 'fort' (on/further) and 'führen' (to lead), so it literally means 'to lead further/onward.'
Der neue Chef wird die erfolgreiche Strategie fortführen.
The new boss will continue the successful strategy.
This noun is very often used with a genitive object to specify what is being continued. The structure is: die Fortführung + [noun in the genitive].
Die Fortführung des Projekts hängt von der Finanzierung ab.
The continuation of the project depends on the funding.
'Die Fortführung' (continuation) is a word used in formal written language and often appears in official, business, or political contexts. It sounds more formal than, for example, 'das Weitermachen' (carrying on/keeping going).
Im Vertrag wird die Fortführung der Zusammenarbeit geregelt.
The continuation of the cooperation is regulated in the contract.
sequel / continuation
'die Fortsetzung' and 'die Fortführung' are very similar when something is about an action or project that has already begun continuing. 'Fortsetzung' is more general and can also be used for stories, films, or conversations. 'Fortführung' sounds somewhat more formal and fits especially well with projects, work, plans, or a state that is meant to continue existing. Learners may confuse the words because both express 'weitermachen' (to continue / carry on). In many factual contexts, both are possible, but for a second part of a film, 'Fortsetzung' sounds more natural.

Die Firma entscheidet nächste Woche über die Fortführung des Projekts.
The company will decide next week on the continuation of the project.
Die Kinder warten gespannt auf die Fortsetzung der Geschichte.
The children are eagerly waiting for the continuation of the story.