fortsetzen
to continue
To resume and continue an action, process, or conversation that has already begun after an interruption.
Wir setzen die Diskussion morgen früh fort.
We will continue the discussion tomorrow morning.

to continue
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to continue
To resume and continue an action, process, or conversation that has already begun after an interruption.
Wir setzen die Diskussion morgen früh fort.
We will continue the discussion tomorrow morning.

'Fortsetzen' (to continue) is a separable verb with the prefix 'fort-'. In a main clause, the prefix goes at the end; in subordinate clauses and in the infinitive with 'zu', the verb stays together.
Nach der Pause setzen wir den Unterricht fort.
After the break, we will continue the lesson.
The verb consists of the prefix 'fort-' and the verb 'setzen' (to set/put). 'Fort' here means 'onward' or 'forward'. So the literal idea is to 'set' an action further or move it forward.
Lasst uns das Gespräch an einem ruhigeren Ort fortsetzen.
Let's continue the conversation in a quieter place.
Pay attention to whether the verb is reflexive or not. If a person actively continues something, use 'fortsetzen' (to continue) with an accusative object. If something goes on or continues by itself, use the reflexive form 'sich fortsetzen' (to continue).
Die Firma setzt die Produktion trotz der Krise fort.
The company is continuing production despite the crisis.
to hire / adjust / stop
'einstellen' and 'fortsetzen' form a clear contrast here. If you 'einstellen' an activity or service, you stop it or discontinue it. If you 'fortsetzen' something, you continue after a pause or interruption. So 'einstellen' goes with ending, while 'fortsetzen' goes with continuing. This difference is especially important with work, projects, conversations, or courses.

Nach der kurzen Pause setzt Julia das Gespräch mit dem Kunden fort.
After the short break, Julia continues the conversation with the customer.
Wegen der hohen Kosten stellt der Verein das Projekt ein.
Because of the high costs, the association is discontinuing the project.