7zip / Powershell copying changed items with parent directory - powershell

Question

I have the following script block built into my script:
$changedItems = (Get-ChildItem $srcdirectory -Recurse | Where-Object { $_.LastWriteTime -gt (Get-Date).AddHours(-24)} | where { ! $_.PSIsContainer }).FullName
foreach ($changedItem in $changeditems){
$archivePath = Join-Path -Path $dstDirectory -ChildPath ($archiveName + "_" + $fileDate + ".zip")
$7zipArgs = #(
"a";
"-mx=9";
"-tzip";
$archivePath;
$changedItem;
)
7zip #7zipArgs
}
It is simply supposed to identify items, that have changed in the last 24 hours, and archive them into a zip directory.
The source directory, that I am querying, has a lot of data in it, so the following part of the block allows, so that only changed files are copied:
| where { ! $_.PSIsContainer }
This eliminates the following problem that happens with the -Recurse part of Get-Childitem:
If there was a folder, which had been changed recently, but no files inside of the folder were changed, the whole folder and it's complete content would be archived.
HOWEVER:
Now I only have the changed files that I want, but I don't have any hierarchy in my new zip file. All of the files are just directly in the zip file, with no parent directory whatsoever.
Example:
Changed files from source directory:
SourceDirectory\A\B\file1
SourceDirectory\1\file2
SourceDirectory\x\y\z\file3
Come into the new zipped archive.zip like this:
file1
file2
file3
But I want to keep the parent directories in the archive.zip like this:
A\B\file1
1\file2
x\y\z\file3
Is there any way to do this?
I hope the explanation is not too complex, please feel free to ask for more information if it is not clear. I needed to add that much context because it is a very specific problem.
Thanks for all help and tips.