Is that posible to export Task Activity or Error Logs with business rule?

The MarketPlace solution Admin Solution Tools (AST) has examples in Dashboard Extender (log by date, by user etc):

''' <summary>
''' Performs a SQL query to retrieve a Log Analysis based on a date range
''' </summary>
''' <param name="si"></param>
''' <param name="dateRange"></param>
''' <returns></returns>
Private Function GetLogAnalysisByDate(ByVal si As SessionInfo, ByVal dateRange As Integer) As DataTable
    Try
        'Define the SQL Statement				
        Dim parameters As List(Of DbParamInfo) = New List(Of DbParamInfo) From {
                New DbParamInfo("@dateRange", dateRange)
                }

        Dim newSql As String = "
        DECLARE @LogAnalysisByDate TABLE (DaysOld VARCHAR(50), LogonCount BIGINT, ErrorCount BIGINT, TaskCount BIGINT)
        -- Set the interval in days
        DECLARE @DateInterval INT = @dateRange
        --DECLARE @DaysOld INT = @DateInterval
        DECLARE @CurrentDate DATETIME = GETUTCDATE()
        --Set start date to number of days behind current date
        DECLARE @StartDate DATETIME = DATEADD(d, (@DateInterval) * -1, GETUTCDATE())
        DECLARE @EndDate DATETIME = GETUTCDATE()
        DECLARE @TotalLogs BIGINT = (SELECT ((SELECT COUNT(*) FROM UserLogonActivity)+(SELECT COUNT(*) FROM ErrorLog)+(SELECT COUNT(*) FROM TaskActivity)))	
        DECLARE @Loop INT = 0
        DECLARE @DaysFrom INT = 0
        DECLARE @DaysTo INT = @DateInterval
        DECLARE @LogonCount INT 
        DECLARE @ErrorCount INT 
        DECLARE @TaskActivityCount INT 

        WHILE (SELECT ISNULL(SUM(LogonCount) + SUM(ErrorCount) + SUM(TaskCount), 0) FROM @LogAnalysisByDate) < @TotalLogs	
            BEGIN 			
                SET @LogonCount = (SELECT COUNT(*) FROM UserLogonActivity WHERE LogonTime BETWEEN @StartDate AND @EndDate) 
                SET @ErrorCount = (SELECT COUNT(*) FROM ErrorLog WHERE ErrorTime BETWEEN @StartDate AND @EndDate) 
                SET @TaskActivityCount = (SELECT COUNT(*) FROM TaskActivity WHERE QueuedTime BETWEEN @StartDate AND @EndDate) 		
                IF @Loop > 0 
                    BEGIN
                        -- Set the DaysOld column value
                        SET @DaysTo = @DaysTo + @DateInterval
                        SET @DaysFrom = @DaysTo - @DateInterval + 1					
                    END				

                -- Update the start and end dates
                SET @EndDate = @StartDate 
                SET @StartDate = DATEADD(d, (@DaysTo + @DateInterval) * -1, GETUTCDATE());

                -- Insert the row
                INSERT INTO @LogAnalysisByDate 
                SELECT (CONVERT(VARCHAR(50), @DaysFrom) + ' - ' + CONVERT(VARCHAR(50), @DaysTo)), @LogonCount, @ErrorCount, @TaskActivityCount 		
                -- Increment the loop count
                SET @Loop = @Loop + 1
                
            END 

            SELECT * FROM @LogAnalysisByDate "					

        'Return the DataTable
        Using DbConnFW As DbConnInfo = BRApi.Database.CreateFrameworkDbConnInfo(si)
            Return BRApi.Database.ExecuteSql(DbConnFW, newSql, parameters, False)
        End Using

    Catch ex As Exception
        Throw ErrorHandler.LogWrite(si, New XFException(si, "Unhandled Exception in GetLogAnalysisByDate() function.", ex.Message, ex.InnerException))
    End Try
End Function