ländlich
rural
Refers to the countryside as opposed to the city; characteristic of villages and nature outside urban areas.
Wir genießen die Ruhe in dieser ländlichen Gegend.
We enjoy the peace and quiet in this rural area.

rural
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rural
Refers to the countryside as opposed to the city; characteristic of villages and nature outside urban areas.
Wir genießen die Ruhe in dieser ländlichen Gegend.
We enjoy the peace and quiet in this rural area.

The adjective 'ländlich' (rural) is derived from the noun 'das Land' (the country/countryside). The ending '-lich' is often used to form an adjective from a noun that describes belonging or a characteristic.
Wir machen Urlaub in einer sehr ländlichen Region in Bayern.
We are taking a vacation in a very rural region in Bavaria.
When 'ländlich' (rural) describes geographic terms like 'Gegend' (area), 'Region' (region), or 'Raum' (area/space), it means 'belonging to the countryside.' If it describes things like 'Küche' (cuisine), 'Möbel' (furniture), or 'Charme' (charm), it more likely means 'simple, traditional, rustic.'
Die ländliche Bevölkerung hat oft andere Sorgen als die Menschen in der Stadt.
The rural population often has different concerns than people in the city.
In the meaning 'belonging to the countryside,' 'ländlich' (rural) is frequently combined with geographic or administrative terms. Typical examples are 'ländliche Gegend' (rural area), 'ländlicher Raum' (rural area), or 'ländliche Gemeinde' (rural municipality).
Die Regierung fördert die Entwicklung im ländlichen Raum.
The government is promoting development in rural areas.
To describe a simple, traditional style, 'ländlich' (rustic/country-style) is often connected with culture, food, or atmosphere. Common combinations are 'ländliche Küche' (rustic country cooking), 'ländliche Idylle' (rural idyll), or 'ländliche Sitten' (country customs).
Nach dem Spaziergang genossen wir die deftige, ländliche Küche des Gasthofs.
After the walk, we enjoyed the hearty, rustic country cooking of the inn.
simple / just
'einfach' and 'ländlich' can both describe a plain style. 'einfach' generally says that something is not luxurious or not especially elaborate. 'ländlich' connects this plainness with life in the countryside, with villages, nature, or a traditional style. Not everything plain is rural or country-style. A room can be simple even in the middle of the city. 'ländlich' only fits when the style or surroundings remind you of the countryside.

Das Restaurant hat eine ländliche Einrichtung mit Holztischen und alten Bildern.
The restaurant has rustic decor with wooden tables and old pictures.
Das Hotelzimmer war einfach, aber sauber und ruhig.
The hotel room was simple but clean and quiet.