Powershell Old Files and Folders Deletion after x days

function Log-Cleanup{
    param
    (
        $log,
        $fileextension
    )

    if(Test-Path $($log+$fileextension)){
        for($i=5; $i -gt 0; $i--){
            if(Test-Path $($log+"-"+$i+$fileextension)){  
                if($i -eq 5){
                    Remove-Item $("$log-$i$fileextension")  
                }else{
                    Rename-Item $("$log-$i$fileextension") $("$log-$($i+1)$fileextension")  
                }
            }
        }
        Rename-Item $("$log$fileextension") $("$log-1$fileextension")  
    }
}

function Delete-Item{
    param
    (
        $log
    )
    
    foreach($item in $delete){
        remove-item $item.FullName -Force -EA SilentlyContinue -EV err
        if ($err.Count -gt 0){
            Write-Host "Beim Löschen von: '$($item.Fullname)' ist ein Fehler aufgetreten: $($err.ErrorDetails.Message)" -BackgroundColor Red -ForegroundColor Yellow  
            echo "ACHTUNG Fehler;$($err.ErrorDetails.Message)" | Out-File $log -Force -Append  
        }else{
            Write-Host "Lösche '$($item.Fullname)'" -ForegroundColor Green  
            echo "$(Get-Date -Format "dd.MM.yyyy hh:mm:ss");$($item.FullName)" | Out-File $log -Force -Append  
        }
    } 
}

function Cleanup-Folders{
    param
    (
        [parameter(Mandatory=$true)][ValidateNotNullOrEmpty()][string[]]$path,
        $loglocation,
        $logname = "log-old",  
        $filepattern = ".txt"  
    )
    
    if($loglocation){
        $loglocation = $loglocation.TrimEnd("\")+"\"  
        $loglocationexists = Test-Path $loglocation
        if($loglocationexists -eq $false){
            Write-Host "Path not found: " $loglocation -BackgroundColor Red -ForegroundColor Yellow  
            Exit 1
        }
        Log-Cleanup -log $loglocation$logname -fileextension $filepattern
    }else{
        $loglocation = $pwd.ToString()+"\Documents\_log\"  
        $loglocationexists = Test-Path $loglocation
        if($loglocationexists -eq $false){
            New-Item -Path $($pwd.ToString()+"\Documents\") -Name "_log" -ItemType Directory  
        }
        Log-Cleanup -log $loglocation$logname -fileextension $filepattern
    }
    $logfile = $loglocation+$logname+$filepattern

    # fetch public drive
    $filtered = gci $path -Recurse | ?{$_.FullName -notlike "$path\AbteilungA*" -and $_.LastAccessTime -lt (Get-Date).AddDays(-28)}  
    foreach($folder in $filtered){

        # delete old files
        $delete = $folder | ?{!$_.PSIsContainer}
        Delete-Item -log $logfile

        # delete old and empty folders
        $delete = $folder | ?{$_.PSISContainer -and $_.Name -notlike "@scan*" -and $_.GetDirectories().Count -eq 0 -and $_.GetFiles().Count -eq 0}  
        Delete-Item -log $logfile
    }
}

Cleanup-Folders-path "C:\Users\xyz\Documents\Test" -loglocation "C:\Users\xyz\Documents\Test\log\"