
schlicht
plain
Simple in form and design, without elaborate decorations or ornamentation.
Sie bevorzugt schlichte Möbel im skandinavischen Design.
She prefers plain furniture in Scandinavian design.
plain / simple
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plain
Simple in form and design, without elaborate decorations or ornamentation.
Sie bevorzugt schlichte Möbel im skandinavischen Design.
She prefers plain furniture in Scandinavian design.

simple
Refers to a person or their nature and means simple, natural, and unpretentious.
Trotz seines Erfolges ist er ein schlichter und bescheidener Mensch geblieben.
Despite his success, he has remained a simple and modest person.

plain and simple
A fixed expression that emphasizes that something is simply as stated, without further complexity or hidden reasons.
Ich komme nicht mit, weil ich schlicht und ergreifend keine Zeit habe.
I'm not coming along because, plain and simple, I don't have time.
In the meaning of 'simply designed', 'schlicht' (plain/simple) is often used to describe design, clothing, or interior furnishings. Typical combinations are 'schlichte Eleganz' (simple elegance), 'ein schlichtes Kleid' (a plain dress), or 'schlichtes Design' (plain design).
Für das Büro trägt er meist ein schlichtes, weißes Hemd.
For the office, he usually wears a plain white shirt.
When a person is described as 'schlicht' (simple), it is usually meant positively. It expresses that someone is down-to-earth, natural, and not arrogant or complicated.
Er ist ein Mann von schlichtem Gemüt und freut sich über die kleinen Dinge im Leben.
He is a man of simple character and takes pleasure in the little things in life.
The expression 'schlicht und ergreifend' (plain and simple) is a fixed expression. You use it to emphasize a simple, undeniable fact and put an end to further discussion.
Warum ich nicht mitkomme? Ich habe schlicht und ergreifend keine Lust.
Why am I not coming along? I plain and simple don't feel like it.
referee / arbitrator
In a dispute, a Schiedsrichter can make a binding decision. A Schlichter, by contrast, helps the parties reach an agreement themselves or suggests a solution. Schiedsrichter is the appropriate term for a binding decision, while Schlichter is used for mediation.

Der Schlichter schlug den beiden Firmen einen Kompromiss vor.
The mediator suggested a compromise to the two companies.
Der Schiedsrichter entschied den Streit zwischen den beiden Firmen verbindlich.
The arbitrator made a binding decision in the dispute between the two companies.