joggen
to jog
To run at a slow, steady pace, usually as a sporting activity to improve endurance.
Ich gehe jeden Morgen eine halbe Stunde im Park joggen.
I go jogging in the park for half an hour every morning.

to jog
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to jog
To run at a slow, steady pace, usually as a sporting activity to improve endurance.
Ich gehe jeden Morgen eine halbe Stunde im Park joggen.
I go jogging in the park for half an hour every morning.

Since 'joggen' (to jog) describes movement, the perfect tense is formed with the auxiliary verb 'sein' (to be), not with 'haben' (to have). This is a typical mistake that should be avoided.
Ich bin heute Morgen eine Stunde im Wald gejoggt.
I jogged in the forest for an hour this morning.
'Joggen' (to jog) is very often used in the construction 'joggen gehen' (to go jogging) to describe the activity as a whole. In this construction, the verb 'gehen' (to go) is conjugated.
Wir gehen zweimal pro Woche zusammen joggen.
We go jogging together twice a week.
'Joggen' (to jog) is often combined with prepositions that describe the location of the activity. Typical phrases are 'im Park' (in the park), 'durch den Wald' (through the forest), or 'am See entlang' (along the lake).
Am liebsten jogge ich früh morgens am Fluss entlang.
I most like jogging along the river early in the morning.
to run
'laufen' and 'joggen' can both refer to athletic movement on foot. 'laufen' is more general: it can mean running fast, training, or even a race. 'joggen' is more specific and usually means running at a slow, steady pace as a sport or for health. The words can be confused because many people say 'laufen gehen' (to go running) in everyday speech when they actually mean jogging. If you mean the leisure sport, 'joggen' is especially clear. 'laufen' fits better when the type or speed is not so important.

Wir joggen jeden Dienstag langsam am Fluss entlang.
We jog slowly along the river every Tuesday.
Meine Schwester läuft am Sonntag bei einem kleinen Stadtlauf mit.
My sister is running in a small city race on Sunday.