Nested IEnumerable collections within Class filtering on multiple conditions

I may not being using the correct term "nested", but you can see the 2 classes I have below. IEnumerable<OperationTask> is in the IEnumerable<AxApp>.

I hope I can explain this correctly:

1. I have a method that is reading values from a txt file into a string[]

   string[] appNames = _appNamesRepository.GetAppNameListFromInputFile(fileName);
   

2. Then I create an IEnumerable<AxApp> collection with a method that reads a SQL table and returns the AxApp properties for each app value in the txt file.

   IEnumerable<AxApp> allAxApps = _axAppRepository.GetAllAxAppsInList(appNames);
   

3. I need to filter the IEnumerable<AxApp> collection based on specific criteria from values in the IEnumerable<OperationTask>. I can get a basic lambda search to work, but I can't return the correct result if I have more than a couple values I'm basing this on.

For example the below will only return an IEnumerable<AxApp> if the appid, operationType, and operationStatus.Incomplete are NOT in IEnumerable<OperationTasks>.

var test = allAxApps.Where(app => 
              !app.operationTasks
                     .Any(task => task.appId == app.appid && 
                                  task.operationType == operationType &&
                                  task.operationStatus != Status.Incomplete));

HOWEVER, I need to go a step further, if the operationType == "Differential", I can only return the AxApp IF IN IEnmerable<OperationTask> there is a collection where type = "NewConversion", status = "Complete", but NO type = "Finish", but can include types = "Differential"

public class AxApp
{
    public AxApp()
    {

    }
    public AxApp(int id, string appname, string dlname)
    {
        this.appname = appname;
        appid = id;
        this.dlname = dlname;
    }
    public string appname { get; set; }
    public int appid { get; set; }
    public string dlname { get; set; }
    public string dtname { get; set; }
    public int flags { get; set; }
    public IEnumerable<AxDlsd> dlsdRecords { get; set; }
    public IEnumerable<AxDl> dlRecords { get; set; }
    public IEnumerable<OperationTask> operationTasks { get; set; }
    public DateTime startMerge { get; set; }
    public DateTime endMerge { get; set; }
}


public class OperationTask
{
    public int operationId { get; set; }
    public int appId { get; set; }
    public OperationType operationType { get; set; }
    public Status operationStatus { get; set; }
    public DateTime startTime { get; set; }
    public DateTime endTime { get; set; }
}

Method that returns the AppData from any value in the string[]

public IEnumerable<AxApp> GetAllAxAppsInList(string[] appNamesInput)
{
    string query = @"SELECT appid, appname, dlname, dtname, flags FROM dbo.ae_apps WHERE appname = @_appname";
    string opQuery = @"SELECT operationId, appId, operationType, operationStatus, startTime, endTime FROM dbo.RDS_ConversionOperationsHistory WHERE appid = @_appId";

    using (var connection = _dbConnectionFactory.GetAxDbConnection())
    {
        foreach (string appname in appNamesInput)
        {
            AxApp result = connection.QuerySingle<AxApp>(query, new { _appname = appname });
            result.operationTasks = connection.Query<OperationTask>(opQuery, new { _appId = result.appid });
            yield return result;
        }
    }
}

IEnumerable for AxApp/OperationTask

[0] = {RDS.Conversion.UtilityLibrary.Models.AxApp}

    [0] {RDS.Conversion.UtilityLibrary.Models.AxApp}    RDS.Conversion.UtilityLibrary.Models.AxApp
    appid   1   int
    appname "PLIC_CENT_1"   string
    dlRecords   null    System.Collections.Generic.IEnumerable<RDS.Conversion.UtilityLibrary.Models.AxDl
    dlname  "ae_dlsd1_SIM"  string
    dlsdRecords null    System.Collections.Generic.IEnumerable<RDS.Conversion.UtilityLibrary.Models.AxDlsd>
    dtname  "ae_dt1"    string
    endMerge    {1/1/0001 12:00:00 AM}  System.DateTime
    flags   16384   int
    operationTasks  Count = 3   System.Collections.Generic.IEnumerable<RDS.Conversion.UtilityLibrary.Models.OperationTask> {System.Collections.Generic.List<RDS.Conversion.UtilityLibrary.Models.OperationTask>}
    startMerge  {1/1/0001 12:00:00 AM}  System.DateTime


    operationTasks  Count = 3   System.Collections.Generic.IEnumerable<RDS.Conversion.UtilityLibrary.Models.OperationTask> {System.Collections.Generic.List<RDS.Conversion.UtilityLibrary.Models.OperationTask>}





    [0] {RDS.Conversion.UtilityLibrary.Models.OperationTask}    RDS.Conversion.UtilityLibrary.Models.OperationTask
    appId   1   int
    endTime {1/1/0001 12:00:00 AM}  System.DateTime
    operationId 18  int
    operationStatus Complete    RDS.Conversion.UtilityLibrary.Models.Status
    operationType   NewConversion   RDS.Conversion.UtilityLibrary.Models.OperationType
    startTime   {9/28/2018 12:53:51 PM} System.DateTime