verwahren
to store
To keep something in a safe place in order to protect it from loss, theft, or damage.
Sie verwahrt ihre wichtigen Dokumente in einem feuerfesten Tresor.
She stores her important documents in a fireproof safe.

to store / to object
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to store
To keep something in a safe place in order to protect it from loss, theft, or damage.
Sie verwahrt ihre wichtigen Dokumente in einem feuerfesten Tresor.
She stores her important documents in a fireproof safe.

'Verwahren' (to store / to object) is an inseparable verb. The prefix 'ver-' always remains attached to the stem 'wahren' and is not separated.
Er verwahrt sein Geld nicht zu Hause, sondern auf der Bank.
He doesn't store his money at home, but at the bank.
In the meaning 'sicher aufbewahren' (to keep safe), 'verwahren' (to store) is often combined with valuable or important things. Typical phrases are: 'Schmuck verwahren' (to store jewelry), 'Dokumente verwahren' (to store documents), or 'etwas an einem sicheren Ort verwahren' (to store something in a safe place).
Bitte verwahren Sie Ihr Gepäck während der Veranstaltung in den Schließfächern.
Please store your luggage in the lockers during the event.
The two meanings can be clearly distinguished grammatically. The meaning 'protestieren' (to protest) is always reflexive and appears with the preposition 'gegen' (against). If you see 'sich verwahren gegen' (to object to), this meaning is always intended.
Der Angeklagte verwahrte sich gegen den Vorwurf des Betrugs.
The defendant objected to the accusation of fraud.
The construction for 'protestieren' (to protest) has a fixed structure: the person is the subject, followed by the reflexive verb and the preposition 'gegen' with an accusative object. So the pattern is: 'jemand verwahrt sich gegen etwas (Akk)' (someone objects to something).
Wir verwahren uns gegen diese unfairen Unterstellungen.
We object to these unfair insinuations.
The expression 'sich gegen etwas verwahren' (to object to something) belongs to formal language. You often find it in official statements, in politics, or in legal contexts.
In einer Pressemitteilung verwahrte sich das Unternehmen gegen die Kritik.
In a press release, the company objected to the criticism.
to pick up / keep / cancel
'aufheben' and 'verwahren' both have to do with keeping something. 'aufheben' is very common in everyday language and often simply means that you do not throw something away because you might need it later. 'verwahren' sounds somewhat more formal and emphasizes that something stays safely in one place. It is used especially for important or valuable things, such as money, IDs, or keys. If only keeping something matters, 'aufheben' fits. If safety and protection are important, 'verwahren' is more precise.

Die Mitarbeiterin verwahrt die Pässe der Gäste im Safe.
The employee stores the guests' passports in the safe.
Sie hebt die Bedienungsanleitung auf, weil sie das Gerät noch nicht gut kennt.
She keeps the instruction manual because she doesn't know the device very well yet.