Most of my friends graduated from university with either a bachelor or a masters degree and only those who stand to inherit a sizable sum of money or their parents home are going to have houses. A 50k salary simply won't cut it. Most have given up on the dream entirely since 30+ years of debt is not something they can justify.
As a quick back of the envelop calculation:
Let's say you had a household income of 86k for two people (43k+43k) which translates to about 4550 EUR per month after taxes, health insurance and pension fund. Their cost of living on average (not including rent) in the hamburg area would be somewhere around the 1900 EUR mark, leaving about 2650 EUR per month. Since people need to save at least a little money, or go on vacation once in a while or repair their car or maybe they have kids it's probably generous to assume they could use 2000 EUR per month to pay off a house.
Let's say you'd get a house for 600k all inclusive and you had to take on 500k of debt. With a current interest of about 2.76% fixed for 20 years and paying off 2000 EUR per month, then after 20 years you'd still be at about 224k of debt and you'd have paid 203k in interest. Assuming the same interest thereafter it would take a total of 30 years and 10 months to pay the house off entirely. During that time larger repairs or renovations are likely needed which would most likely forbid to pay off more than 2000 EUR per month.
Now one could argue that people could find places for half as much in rural areas but then again, lots of professions won't find any jobs there and those that do often get paid way less. Somehow the situation saddens me. My parents bought a semi-detached house 20 years ago for 200k (which would be 264k today adjusting for inflation). Two identical semis in the same street got sold last year, each for more than 500k, so pretty much double the inflation adjusted prices albeit being 20 years older houses now.