You would have to host them on a public web server.
"Note: The CSVLayer uses a service from ArcGIS.com, therefore your csv/txt must be publicly accessible on the internet. The service from ArcGIS.com has a maximum number of 1000 records allowed."
https://developers.arcgis.com/flex/api-reference/index.html?com/esri/ags/layers/CSVLayer.html&com/es...