Is it possible for runtime .NET Core 3.1 and 6.0 to coexist on an Ubuntu system

Is it possible for runtime .NET Core 3.1 and 6.0 to coexist on an Ubuntu system (for example, Ubuntu 22.04)? Let me explain, I have a computer where I need both runtimes, but either I install one or the other. I can't seem to get them to work together. The installation for version 3.1 is done like this:

wget http://archive.ubuntu.com/ubuntu/pool/main/o/openssl/libssl1.1_1.1.0g-2ubuntu4_amd64.deb 
sudo dpkg -i libssl1.1_1.1.0g-2ubuntu4_amd64.deb
wget https://packages.microsoft.com/config/ubuntu/20.04/packages-microsoft-prod.deb   
dpkg -i packages-microsoft-prod.deb  
apt update  
apt install apt-transport-https dotnet-runtime-3.1 -y

And for version 6.0, I use the following steps:

wget https://packages.microsoft.com/config/ubuntu/22.04/packages-microsoft-prod.deb  -O packages-microsoft-prod.deb
sudo dpkg -i packages-microsoft-prod.deb
rm packages-microsoft-prod.deb
sudo apt-get update
sudo apt install aspnetcore-runtime-6.0

However, when I run dotnet --list-runtimes, I only see version 3.1. If I only perform the installation of 6.0, only that one is displayed. But never both.