
einschalten
to switch on
To activate and start operating a device, machine, or light using a switch or button.
Vergiss nicht, die Alarmanlage einzuschalten, wenn du gehst.
Don't forget to switch on the alarm system when you leave.
to switch on / involve
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to switch on
To activate and start operating a device, machine, or light using a switch or button.
Vergiss nicht, die Alarmanlage einzuschalten, wenn du gehst.
Don't forget to switch on the alarm system when you leave.

to involve
To bring in or commission a person or institution to help with a matter or take it over.
Bei rechtlichen Problemen sollte man frühzeitig einen Anwalt einschalten.
In the case of legal problems, you should involve a lawyer early on.

to get involved
To get involved in a matter, dispute, or conversation; to intervene.
Als die Diskussion zu hitzig wurde, hat sich der Moderator eingeschaltet.
When the discussion became too heated, the moderator got involved.
'Einschalten' (to switch on / involve) is a separable verb. In a main clause, the prefix 'ein' goes at the end. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Ich schalte das Licht ein.
I switch on the light.
The three meanings can be distinguished well: If the object is a device, it means 'activate'. If the object is a person or institution, it means 'bring in' or 'involve'. If the verb is reflexive ('sich einschalten'), it means 'to get involved' or 'to interfere'.
Kannst du bitte das Radio einschalten?
Can you please switch on the radio?
In the meaning of 'jemanden hinzuziehen' (to bring someone in), the verb is often combined with people or institutions that help with problems. Typical phrases are: 'die Polizei einschalten' (to involve the police), 'einen Anwalt einschalten' (to involve a lawyer), or 'die Behörden einschalten' (to involve the authorities).
Wegen des Wasserschadens mussten wir einen Experten einschalten.
Because of the water damage, we had to involve an expert.
When someone gets involved in a matter, this is often expressed with the preposition 'in' and the accusative. The structure is: 'sich in etwas (Akk.) einschalten' (to get involved in something).
Der Politiker schaltete sich in die öffentliche Debatte ein.
The politician got involved in the public debate.
to call
Anrufen a higher authority means formally asking it for a decision or help. Einschalten (to involve) is more general and means bringing an institution into a matter for support. Use anrufen for the formal route to a court, and einschalten when bringing in an institution.

In dem Streit schaltete sie eine Schlichtungsstelle ein, damit diese vermittelt.
In the dispute, she brought in a mediation agency to mediate.
In dem Streit rief sie das zuständige Gericht an, damit es entscheidet.
In the dispute, she appealed to the competent court to make a decision.