Como ler um arquivo de texto no jtextarea no Java Swing

Aqui está o meu código:

try {
    String textLine;
    FileReader fr = new FileReader("ad.txt");
    BufferedReader reader = new BufferedReader(fr);
    while((textLine=reader.readLine()) != null) {
        textLine = reader.readLine();
        jTextArea1.read(reader, "jTextArea1");
    }
}
catch (IOException ioe) {
    System.err.println(ioe);
    System.exit(1);
}

E meu arquivo .txt contém o seguinte:

Comprimento contig00001 = 586 = 4 numreads CGGGAAATTATCcGCGCCTTCACCGCCGCCGGTTCCACCGACGAACGGATACTGCGtGaa ggCCGCGATCCCGTCggaCGGAAAaCGCCcTGGCCCGGGAaCATACCGTTCGGGCCGCCA AGTGTTATAGCCGGACCACTTGTCAGAACATTTCCaaTCCGAAGATGTGAGTtCGGAAGg TAAAAGCCCGACAAGTTGCGCGgTGAATTTACCTTtACcGCACGATATGCGTCCGTATTA AaGAAAaGTTCGAAATTATCAGTAAGGCCGACCTGAAaGCTGACCGGGAGTTCAACAAAA TCTGCATCACCcGGgTCACGGTCGAAATTGCTGTACGCGGCGCTGAACGTAAATTCACCC TTTcTAAGGGTGTCGCcGTCGTAAACCGTAAaCAaGCCGGTAGCGCCGCCCATCGGGCCG CCGGTACCAACCGTCGGTGCCGTGTTTCTtGCATCATTGTCCGATCGAGCGTTCTCGTCC GCTTGTGCAAaTCCTGCAaTAGCTAACGTGAAAACGATCAGAGCTGTTGTAAATACTCTA TAAGCGAGATTCATCACATTCCTCcGCCGAAATAAAAAGTTAATTt

Comprimento contig00002 = 554 = 4 numreads TGCGCCAaCCGCGCTCTtCATAAaTGGGCACTGCTCCCGATGGCCgACTCGGGCGGTTCG CCATGAGATCTTTGCCtACCcAGgAaCtCACcACCAAGTCTGATTGCTGTGTGTTTtCTT CAAGTCCCTATTTCTATTCtCTTtAATGGAACCCGTAGGAAACCCGTGTAGGACGCGGGA aCCGCACTTgAAGGGGGAGGCGCGGGGTACCGGtCCGGGAACGTACGGGTACCGGCGGGG gAGGGGAGGGGGACCgCTCCGGGAAGGCCAGGGGACGGATTGGGGAAGGgCGGGTACCGA AGCGGGgAAaTGGGggAaCcGGCGAGAGGGTTCCTCGCTAAGTGGGGGAAATaGGGGAAA GGTTGACCAGTGGTtCCCcGCTCTCGTAACATGCCTCAGATAGCGCCATCCGCTGTACCT GGtcaggtcGctggcaacttcggccgagcaggtgaacccgaaaggtgagggtcagtgtga cacaccaaccgaacaccgacgaggcaagcgtaggagccggcgtggccgcgcccggcggcg ctgaggactcctcg

Mas mostra a saída pulando as duas primeiras linha

Qual é a razão para isto

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