rauslassen
to let out
To allow someone or an animal to leave a closed room or building.
Vergiss nicht, die Katze rauszulassen, bevor du gehst.
Don't forget to let the cat out before you leave.

to let out / leave out
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to let out
To allow someone or an animal to leave a closed room or building.
Vergiss nicht, die Katze rauszulassen, bevor du gehst.
Don't forget to let the cat out before you leave.

'Rauslassen' (to let out / leave out) is a separable verb. The prefix 'raus' comes at the end in a main clause. In a subordinate clause, the verb stays together.
Lass bitte den Hund raus!
Please let the dog out!
The prefix 'raus' is a colloquial short form of 'heraus' (out). Therefore, the verb 'rauslassen' is mainly used in spoken language and informal contexts.
Kannst du mich hier kurz rauslassen?
Can you let me out here for a moment?
The object reveals the meaning: a living being is let out of a room ('die Katze rauslassen' — to let the cat out). A feeling is expressed ('die Wut rauslassen' — to let out one's anger). A part of a work is removed ('eine Szene rauslassen' — to leave out a scene).
Er öffnete das Fenster, um die Hitze rauszulassen.
He opened the window to let the heat out.
'Die Sau rauslassen' is a fixed idiom. It means to party without restraint or to let off steam. The word 'Sau' (sow) is not meant literally here.
Nach den Prüfungen wollen wir am Wochenende mal richtig die Sau rauslassen.
After the exams, we want to really let loose this weekend.
to remove
'entfernen' and 'rauslassen' can both mean that something no longer stays in one place or as part of a whole. 'entfernen' is more general and neutral: you can remove stains, errors, files, or objects. 'rauslassen' fits better when you leave something out of a text, plan, or production. It often sounds more colloquial than 'entfernen'. When you mean precise removal, 'entfernen' is more natural. When a part is intentionally not supposed to appear, 'rauslassen' fits well.

Im Bericht lassen wir den letzten Absatz raus, weil er nicht wichtig ist.
In the report, we leave out the last paragraph because it is not important.
Vor dem Termin entfernt die Mitarbeiterin die alten Notizen aus der Datei.
Before the appointment, the employee removes the old notes from the file.